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in Mathematics by (64.8k points)

If A is a square matrix such that A2 = A, then write the value of (I + A)2 – 3A.

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(I + A)2 – 3A = I2 + A2 + 2A – 3A 

= I2 + A2 - A 

= I2 + A - A [∵ A2 = A]

= I2 = I . I = I

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