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(Solved): 27. Let A be an involution matrix, and let B=21(I+A)andC=21(IA) Show that B and C are ...

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27. Let

A

be an involution matrix, and let

B = \frac{1}{2} (I + A) and C = \frac{1}{2} (I ? A)

Show that

B

and

C

are both idempotent and

BC =

O

.

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To show that B and C are both idempotent matrices, we need to demonstrate that squaring them results...

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