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If a square matrix A is involutory, then...

If a square matrix `A` is involutory, then `A^(2n+1)` is equal to:

A

(a) `I`

B

(b) `A`

C

(c) `A^(2) `

D

(d) `(2n +1) A`

Text Solution

Verified by Experts

The correct Answer is:
B
`because A^(2n+1) = (A^(2))^(n) cdot A = (I)^(n) cdot A = IA = A`
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