Mathematics › Matrices
Matrices Questions
297 questions across 9 subtopics — with step-by-step solutions.
Adjoint(60)
- Let A be a 3 \times 3 matrix with real ent... | Mathematics | TestHub
- Let A=\left[a_{i j}\right]_{3 \times 3} be... | Mathematics | TestHub
- Matrix A has Row 1: 1, 0, 1; Row 2: 0, 2,... | Mathematics | TestHub
- A square matrix A of order n satisfies |A|... | Mathematics | TestHub
- Let invertible A and B be of order 3 , wit... | Mathematics | TestHub
- If the adjoint of a matrix P is , then the... | Mathematics | TestHub
- If and and , then find the value of . | Mathematics | TestHub
- Which statement is correct for square matr... | Mathematics | TestHub
- Let A be a matrix Statement-1 Statement-2 : | Mathematics | TestHub
- If the adjoint of a matrix is , then the p... | Mathematics | TestHub
- Ifis the adjoint of amatrixand, thenis equ... | Mathematics | TestHub
- Ifis amatrix such that, thenis equal to | Mathematics | TestHub
- Ifand, thenis equal to | Mathematics | TestHub
- Let, whereSupposeis a matrix such that, wh... | Mathematics | TestHub
- Letbe anyinvertible matrix. Then which one... | Mathematics | TestHub
- If, thenis equal to: | Mathematics | TestHub
- Letandwhereandare real numbers. Which of t... | Mathematics | TestHub
- Letbe ainvertible matrix with real entries... | Mathematics | TestHub
- Ifandthenis equal to | Mathematics | TestHub
- Let A be amatrix such thatand. Ifand, then... | Mathematics | TestHub
- Letbe amatrix, wherethenis equal to ________. | Mathematics | TestHub
- LetwhereSupposeis a matrix satisfyingforso... | Mathematics | TestHub
- Letbe areal matrix. Ifthen the value ofequ... | Mathematics | TestHub
- Ifthen the value ofis equal to ________. | Mathematics | TestHub
- Let the matrixand the matrix. Iffor all, t... | Mathematics | TestHub
- Let{andis odd}. Letand. If, thenis equal to | Mathematics | TestHub
- Let. If, then the sum of all elements of t... | Mathematics | TestHub
- Letbe a matrix of orderand. Thenis equal t... | Mathematics | TestHub
- Letbe ainvertible matrix. If, thenis equal to | Mathematics | TestHub
- Let be a matrix with and . Then the sum of... | Mathematics | TestHub
- Letandbe twomatrices such thatandthenis eq... | Mathematics | TestHub
- Consider a matrix, whereare three distinct... | Mathematics | TestHub
- The positive value of the determinant of t... | Mathematics | TestHub
- Letbe amatrix such that. If the determinan... | Mathematics | TestHub
- Ifis areal matrix such that, where, then | Mathematics | TestHub
- Letbe amatrix such that. Thenis equal to | Mathematics | TestHub
- Letbe the adjoint of a matrixandThenis equ... | Mathematics | TestHub
- Let for. If, thenis equal to | Mathematics | TestHub
- Letand. Thenis equal to | Mathematics | TestHub
- Ifis amatrix and, thenis equal to | Mathematics | TestHub
- Letand. Then | Mathematics | TestHub
- Let the determinant of a square matrixof o... | Mathematics | TestHub
- If, thenis equal to | Mathematics | TestHub
- Let. If, thenis equal to | Mathematics | TestHub
- Let and be two square matrices of order 3... | Mathematics | TestHub
- Let be a matrix and . If , then the remain... | Mathematics | TestHub
- Let and . Then, the sum of all the element... | Mathematics | TestHub
- Let and . If , then is equal to: | Mathematics | TestHub
- Letbe a non-zeromatrix, where. For a squar... | Mathematics | TestHub
- Let be a non-singular matrix of order 3 .... | Mathematics | TestHub
- If is a square matrix of order 3 such that... | Mathematics | TestHub
- Let be a matrix of order and . If then is... | Mathematics | TestHub
- Let and A be a matrix of order such that a... | Mathematics | TestHub
- Let . If is the cofactor of , and , then i... | Mathematics | TestHub
- Let be a matrix such that for all nonzero... | Mathematics | TestHub
- Let .If , then is equal to | Mathematics | TestHub
- Let be the identity matrix of order and fo... | Mathematics | TestHub
- For a matrix , let trace denote the sum of... | Mathematics | TestHub
- Let be a matrix such that, then is equal to | Mathematics | TestHub
- Let be a square matrix of order 3 such tha... | Mathematics | TestHub
Characteristics Equation(3)
General(64)
- Let The only correct statement about the m... | Mathematics | TestHub
- If , then the inverse of is | Mathematics | TestHub
- If and are square matrices of size such th... | Mathematics | TestHub
- Let and . Then | Mathematics | TestHub
- Let be a matrix with real entries. Let I b... | Mathematics | TestHub
- The number of matrices whose entries are e... | Mathematics | TestHub
- The number of non-singular matrices, with... | Mathematics | TestHub
- Paragraph:Let be an odd prime number and b... | Mathematics | TestHub
- Let be a matrix with non-zero entries and... | Mathematics | TestHub
- Paragraph:Let be an odd prime number and b... | Mathematics | TestHub
- Let be a cube root of unity and be the set... | Mathematics | TestHub
- If and then equals | Mathematics | TestHub
- If denotes the transpose of the matrix , w... | Mathematics | TestHub
- If is a matrix such that , where is the tr... | Mathematics | TestHub
- Let . If and are column matrices such that... | Mathematics | TestHub
- If are 3 real numbers satisfying the matri... | Mathematics | TestHub
- Let , other than or , be a real matrix suc... | Mathematics | TestHub
- Letbe a complex cube root of unity withand... | Mathematics | TestHub
- A common tangent to the conics and is: | Mathematics | TestHub
- Let M and N be twomatrices such that MN =... | Mathematics | TestHub
- Letandwheredenotes the transpose of the ma... | Mathematics | TestHub
- Let be a real matrix with entries from and... | Mathematics | TestHub
- The number of allmatriceswith entries from... | Mathematics | TestHub
- The trace of a square matrix is defined to... | Mathematics | TestHub
- Letbe anymatrix with entries from the set.... | Mathematics | TestHub
- The total number ofmatriceshaving enteries... | Mathematics | TestHub
- LetandIfdenotes the sum of all diagonal el... | Mathematics | TestHub
- For any matrix , let denote the determinan... | Mathematics | TestHub
- Let. Defineasfor allwhereis set of all int... | Mathematics | TestHub
- Letbe a real matrix of ordersuch thatforTh... | Mathematics | TestHub
- The probability that a randomly chosenmatr... | Mathematics | TestHub
- Letbe amatrix having entries from the set.... | Mathematics | TestHub
- The number of matrices, where, such that,... | Mathematics | TestHub
- Letbe a matrix of order, whose entries are... | Mathematics | TestHub
- The number of matrices of order, whose ent... | Mathematics | TestHub
- Which of the following matrices can NOT be... | Mathematics | TestHub
- Letbe the set containing allmatrices with... | Mathematics | TestHub
- The number of square matrices of orderwith... | Mathematics | TestHub
- Let. Then the number of invertible matrice... | Mathematics | TestHub
- The number of symmetric matrices of order... | Mathematics | TestHub
- Let. The number of matricessuch that the s... | Mathematics | TestHub
- Let be a matrix of non-negative real eleme... | Mathematics | TestHub
- Let and . If is the matrix of cofactors of... | Mathematics | TestHub
- Let . If the sum of the diagonal elements... | Mathematics | TestHub
- Let . If , where is the identity matrix of... | Mathematics | TestHub
- Letbe areal matrix andbe the identity matr... | Mathematics | TestHub
- Let be a symmetric matrix such that and th... | Mathematics | TestHub
- Let be matrix such that and , then equals : | Mathematics | TestHub
- Let the matrix satisfy for . Then the sum... | Mathematics | TestHub
- If , and are non-singular matrices of same... | Mathematics | TestHub
- Let be a real matrix such that , where I a... | Mathematics | TestHub
- Let be a solution of , and for some and in... | Mathematics | TestHub
- Let M denote the set of all real matrices... | Mathematics | TestHub
- Let .If is the cofactor of , and , then is... | Mathematics | TestHub
- Let .If , then is equal to | Mathematics | TestHub
- Let be a matrix of order and . If then is... | Mathematics | TestHub
- Let and A be a matrix of order such that a... | Mathematics | TestHub
- The number of singular matrices of order 2... | Mathematics | TestHub
- Let be a matrix of order , with . If the s... | Mathematics | TestHub
- Let , such that and . If I denotes identit... | Mathematics | TestHub
- Let be a solution of , and for some and in... | Mathematics | TestHub
- Let be a matrix such that, then is equal to | Mathematics | TestHub
- If A and B are two matrices such that \mat... | Mathematics | TestHub
- A and B are two non singular matrices so t... | Mathematics | TestHub
Inverse matrix(32)
- If \mathrm{A}=\left(\begin{array}{ll}1 & 2... | Mathematics | TestHub
- Which of the following is/ are CORRECT? | Mathematics | TestHub
- For any matrix , let denote the determinan... | Mathematics | TestHub
- Let . If | Mathematics | TestHub
- Paragraph:Read the following passage and a... | Mathematics | TestHub
- Let be a square matrix all of whose entrie... | Mathematics | TestHub
- Let and be real matrices of the form and ,... | Mathematics | TestHub
- Let M be asymmetric matrix with integer en... | Mathematics | TestHub
- Let A be a matrix such that Then is: | Mathematics | TestHub
- Letwhereandare real number, andis theident... | Mathematics | TestHub
- If, then the matrixwhenis equal to: | Mathematics | TestHub
- Ifis the inverse of amatixthen the sum of... | Mathematics | TestHub
- Ifthenis: | Mathematics | TestHub
- Ifthen the inverse ofis: | Mathematics | TestHub
- Ifandthen, is equal to. | Mathematics | TestHub
- LetIfis aidentity matrix, thenis equal to : | Mathematics | TestHub
- Letandbe tworeal matrices such thatis inve... | Mathematics | TestHub
- Letandwhere, andbe the identity matrix of... | Mathematics | TestHub
- Ifandthenis equal to _____ . | Mathematics | TestHub
- For anymatrix, letdenote the determinant o... | Mathematics | TestHub
- Let. If, thenis equal to _______. | Mathematics | TestHub
- Let. Letbe such that. Thenis equal to | Mathematics | TestHub
- Ifand, thenis equal to : | Mathematics | TestHub
- Let, be thematrix such thatifis divisible... | Mathematics | TestHub
- The set of all values of , for which the m... | Mathematics | TestHub
- Let and be a matrix such that . If and , t... | Mathematics | TestHub
- Letand. The sum of the prime factors ofis... | Mathematics | TestHub
- Consider the matrix. Given below are two s... | Mathematics | TestHub
- If , and are non-singular matrices of same... | Mathematics | TestHub
- If A and B are two matrices of order 3 \ti... | Mathematics | TestHub
- Let A, B be square matrix such that A B=0... | Mathematics | TestHub
- If A and B are any two different square ma... | Mathematics | TestHub
Miscellaneous/Mixed(3)
Product of Matrices(99)
- If and , then | Mathematics | TestHub
- Paragraph:Read the following passage and a... | Mathematics | TestHub
- Paragraph:Read the following passage and a... | Mathematics | TestHub
- Let . If , then equals | Mathematics | TestHub
- Find the value of | Mathematics | TestHub
- Paragraph:Let , b and be three real number... | Mathematics | TestHub
- The matrix , where is identity matrix and... | Mathematics | TestHub
- Then, the sum of the diagonal entries of is | Mathematics | TestHub
- Paragraph:Let , b and be three real number... | Mathematics | TestHub
- Let and , find | Mathematics | TestHub
- Let and be matrices with . If and , then d... | Mathematics | TestHub
- The matrix , where is identity matrix and... | Mathematics | TestHub
- If is a matrix such that , then is equal to : | Mathematics | TestHub
- If then : | Mathematics | TestHub
- If and be such that , then: | Mathematics | TestHub
- If, then which one of the following statem... | Mathematics | TestHub
- If is a matrix satisfying the equation , w... | Mathematics | TestHub
- Let, be amatrix, such thatStatement - I :S... | Mathematics | TestHub
- Let, where, andLetandbe the identity matri... | Mathematics | TestHub
- If, then the determinant of the matrixis : | Mathematics | TestHub
- Ifandthenis : | Mathematics | TestHub
- Letandbe the identity matrix of order. Ifi... | Mathematics | TestHub
- The number ofmatriceswith entries from, su... | Mathematics | TestHub
- Letbe a matrix such thatis a scalar matrix... | Mathematics | TestHub
- Letand. Then the sum of the elements of th... | Mathematics | TestHub
- Suppose is any non-singular matrix and , w... | Mathematics | TestHub
- Let be a matrix such that . is a scalar ma... | Mathematics | TestHub
- Letsuch thatThen, a value ofis: | Mathematics | TestHub
- Let . If then is: | Mathematics | TestHub
- Letandbe twomatrices such that. Thenis equ... | Mathematics | TestHub
- The total number of matricesfor whichis: | Mathematics | TestHub
- LetandIfthenis equal to_____________. | Mathematics | TestHub
- Letwherethen the set | Mathematics | TestHub
- Letand. If, then det: | Mathematics | TestHub
- Letbe a root of the equationand the matrix... | Mathematics | TestHub
- Let be all non-zero and satisfies . If the... | Mathematics | TestHub
- Ifandwhere, then which one of the followin... | Mathematics | TestHub
- Ifandthen a possible value ofis | Mathematics | TestHub
- Ifthenis: | Mathematics | TestHub
- Letandsuch thatandthen the value ofis equa... | Mathematics | TestHub
- Letbe an identity matrix of orderand. Then... | Mathematics | TestHub
- Letand,whereis an identity matrix of order... | Mathematics | TestHub
- Let. Then, the system of linear equationsh... | Mathematics | TestHub
- Letwhereandare real numbers such thatand.... | Mathematics | TestHub
- LetThen the number ofmatriceswith entries... | Mathematics | TestHub
- Ifandthen the sum of all the elements of t... | Mathematics | TestHub
- Letandbe twomatrices with real entries suc... | Mathematics | TestHub
- LetwhereThen the number ofdigit numbers in... | Mathematics | TestHub
- If for the matrix,, then the value ofis : | Mathematics | TestHub
- LetThenis equal to | Mathematics | TestHub
- If the matrixsatisfiesthen the value ofis | Mathematics | TestHub
- The number of elements in the set {and}, w... | Mathematics | TestHub
- If , and , then the inverse of the matrix... | Mathematics | TestHub
- If the matrixsatisfies the equationfor som... | Mathematics | TestHub
- Letand. If, then the number of elements in... | Mathematics | TestHub
- Letbe a real number. Consider the matrix.... | Mathematics | TestHub
- Letand. Then the number of elements in the... | Mathematics | TestHub
- Let and .If , then is equal to ______. | Mathematics | TestHub
- Letand. Letbe the value ofwhich satisfiesa... | Mathematics | TestHub
- If, then which of the following matrices i... | Mathematics | TestHub
- Letandbe twonon-zero real matrices such th... | Mathematics | TestHub
- Let. If for somethenis equal to _______. | Mathematics | TestHub
- Letbe a square matrix of ordersuch that, f... | Mathematics | TestHub
- Let, whereis a non-zero real number and. I... | Mathematics | TestHub
- Letand let. Then the number of elements in... | Mathematics | TestHub
- Letand, then the value ofis; | Mathematics | TestHub
- Letwhere. Then, the number of elements in... | Mathematics | TestHub
- Letand. For, if, thenis equal to | Mathematics | TestHub
- Ifthen, | Mathematics | TestHub
- Letwherefor alland, Letbe the sum of all d... | Mathematics | TestHub
- Letbe amatrix with real entries such thatw... | Mathematics | TestHub
- Let . If , then the sum of all the element... | Mathematics | TestHub
- Let. Then the sum of the diagonal elements... | Mathematics | TestHub
- Let be a square matrix such that . For , i... | Mathematics | TestHub
- then is equal to | Mathematics | TestHub
- Let and , where . If , then the inverse of... | Mathematics | TestHub
- Letand. Ifthenis equal to | Mathematics | TestHub
- Ifandare two non-zeromatrices such thatthen | Mathematics | TestHub
- Let, where. Ifand the positive value ofbel... | Mathematics | TestHub
- Letandbe real numbers. Consider amatrixsuc... | Mathematics | TestHub
- Letandwhere, Then a value ofis | Mathematics | TestHub
- If and , then | Mathematics | TestHub
- Letwhereis real matrix of ordersuch that t... | Mathematics | TestHub
- Ifand, then detis equal to: | Mathematics | TestHub
- Let, where,are column matrices, and,Ifandi... | Mathematics | TestHub
- Letbe a square matrix such that. Thenis eq... | Mathematics | TestHub
- Let the matrix satisfy for . Then the sum... | Mathematics | TestHub
- Let and . If and the sum of the diagonal e... | Mathematics | TestHub
- Let and . Let for some non-zero real numbe... | Mathematics | TestHub
- Let , where . Then is equal to ______. | Mathematics | TestHub
- Let . If for some , , then the sum of the... | Mathematics | TestHub
- Let be matrix such that and , then equals : | Mathematics | TestHub
- Let be a real matrix such that , where I a... | Mathematics | TestHub
- Let be a matrix of order , with . If the s... | Mathematics | TestHub
- Let , and . If , and , where , then find t... | Mathematics | TestHub
- Let A and B be two matrices (neither null... | Mathematics | TestHub
- If , then equals: | Mathematics | TestHub
- Let A be a 2 × 2 skew-symmetric matrix. Ma... | Mathematics | TestHub
- Matrix f(x) has Row 1: 1, x, 0 ; Row 2: 0,... | Mathematics | TestHub
Special matrix(9)
- Let P(x) be the determinant with Row 1: a_... | Mathematics | TestHub
- If , , and , then find the least value of . | Mathematics | TestHub
- Let A_{n},(n \in N) be a matrix of order (... | Mathematics | TestHub
- where is an orthogonal matrix. Then the va... | Mathematics | TestHub
- Let A be a positive diagonal 3 \times 3 ma... | Mathematics | TestHub
- Let f(x)=\left(x-a_{1}\right)\left(x-a_{2}... | Mathematics | TestHub
- If , then the determinant of is: | Mathematics | TestHub
- If A and B are two square matrices of orde... | Mathematics | TestHub
- A square matrix A is said to be nilpotent... | Mathematics | TestHub
Symmetric & Skew Symmetric Matrices(24)
- Let A be a 3 \times 3 matrix with real ent... | Mathematics | TestHub
- Paragraph:Let be an odd prime number and b... | Mathematics | TestHub
- Let and be two symmetric matrices of order... | Mathematics | TestHub
- Let and be two non-singular skew-symmetric... | Mathematics | TestHub
- If be two matrices, then is a non-zero mat... | Mathematics | TestHub
- For 3 x 3 matrices M and N, which of the f... | Mathematics | TestHub
- Ifis anon-singular matrix such thatandthen... | Mathematics | TestHub
- Letandbe any twomatrices. Ifis symmetric a... | Mathematics | TestHub
- Let for be a polynomial of degree 2 in and... | Mathematics | TestHub
- Letbe two arbitrary,, non - zero, skew - s... | Mathematics | TestHub
- For twomatricesand, letandwhereis the tran... | Mathematics | TestHub
- If,,then the value ofis | Mathematics | TestHub
- Ifis a symmetric matrix andis skew- symmet... | Mathematics | TestHub
- Letbe written aswhereis a symmetric matrix... | Mathematics | TestHub
- Letbe a symmetric matrix of orderwith inte... | Mathematics | TestHub
- Letandbe any twosymmetric and skew symmetr... | Mathematics | TestHub
- Let. Ifandare two matrices given byandthenis | Mathematics | TestHub
- Letbe a symmetric matrix such thatandIf th... | Mathematics | TestHub
- Let be matrices such that is symmetric and... | Mathematics | TestHub
- Let and be the distinct roots of the equat... | Mathematics | TestHub
- Let invertible A, B be order 3 matrices wi... | Mathematics | TestHub
- If B is square, |B|=1 , and 2 A+B=B^{T}-A^... | Mathematics | TestHub
- How many symmetric 3 \times 3 matrices wit... | Mathematics | TestHub
- A be set of 3 \times 3 matrices formed by... | Mathematics | TestHub
System of equations(3)
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