Question

If A is a square matrix such that A^2 = A , find the value of (1 + A)^3.​

Answer 1

Answer:

Given A

2

=A

Consider, (I+A)

3

−7A=I

3

+A

3

+3I

2

A+3IA

2

−7A

=I+A

2

+3A+3A−7A

=I+7A−7A

⇒(I+A)

3

−7A=I