IPMAT Indore 2019 (SA) - If A is a 3 x 3 non-zero matrix such that A^2 = 0 then the determinant of (I + A)^50 - 50A is equal to | PYQs + Solutions

IPMAT Indore 2019

Modern Math

Matrices & Determinants

Medium

If $A$ is a $3 \times 3$ non-zero matrix such that $A^2 = 0$ then the determinant of $(I + A)^{50} - 50A$ is equal to

Entered answer:

Correct Answer: 1

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IPMAT Indore 2019

\left[\begin{array}{cc}2 & -0.5 \\ -1 & x\end{array}\right]

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IPMAT Indore 2019

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IPMAT Indore 2019

3 \times 3