Question:
If A is square matrix such that A2=A,then (I+A)3-7A is equal to
If A is square matrix such that A2=A,then (I+A)3-7A is equal to
Updated On: Oct 13, 2023
A
I − A
I
3A
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The Correct Option is C
Solution and Explanation
(I+A)3-7A =I3+A3+3I2A+3A2I-7A
=I+A3+3A+3A2-7A
=I+A2.A+3A+3A-7A [A2=A]
=I+A2-A
=I+A-A
=I
\(\therefore\) (I+A)3-7A=I
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