If $A = \left[ {\begin{array}{*{20}{c}} 2&0&0\\ 0&2&0\\ 0&0&2 \end{array}} \right],$ then ${A^5} = $

JEE MATHEMATICS MCQ: MATRICES

1 Easy

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Application +4 | -1

A = \left[ {\begin{array}{cccccccccccccccccccc} 2&0&0\\ 0&2&0\\ 0&0&2 \end{array}} \right],

then

{A^5} =

View answer and explanation

Correct option: C

16A

Option C (16A) is correct because when A is a scalar multiple of the identity matrix, raising it to a power involves raising the scalar to that power.

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