Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesProduct of MatricesEasy2 minPYQ_2012

MathematicsEasysingle choice

Let $A = [00 α 0]$ and $(A + I)^{50} - 50 A = [a c b d]$ , find $ab c + ab d + b c d + a c d$

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Answer:

Solution:

As $A^{2} = 0, A^{k} = 0\forall k \geq 2$ Thus, $(A + I)^{50} = I + 50 A \Rightarrow (A + I)^{50} - 50 A = I$ $∴ a = 1, b = 0, c = 0, d = 1$ $abc + abd + bed + acd = 0$

Stream:BITSATSubject:MathematicsTopic:MatricesSubtopic:Product of Matrices

⏱ 2mℹ️ Source: PYQ_2012

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