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Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesInverse matrixEasy2 minPYQ_2014

MathematicsEasymultiple choice

Let M be a $2 \times 2$ symmetric matrix with integer entries. Then M is invertible if

Options:(select one or more)

Answer:

C, D

Solution:

Let $M = [\begin{matrix} a & c \\ c & b \end{matrix}]$ (where a, b, c $\in I$ )
Then Det $M = a b - c^{2}$
If $a = b = c, D e t (M) = 0$
If $c = 0, a, b \neq 0, D e t (M) \neq 0$
If $a b \neq$ square of integer, $D e t (M) \neq 0$

Stream:JEE_ADVSubject:MathematicsTopic:MatricesSubtopic:Inverse matrix

⏱ 2mℹ️ Source: PYQ_2014

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