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Question
If A is a square matrix such that A2 = A, then (I + A)2 - 3A is ____________.
Options
I
2A
3I
A
MCQ
Fill in the Blanks
Solution
If A is a square matrix such that A2 = A, then (I + A)2 - 3A is I.
Explanation:
as (I + A)2 - 3A
= I2 + IA + AI + A2 - 3A
= I + A + A + A - 3A = I
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