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The matrix A={:[((1)/(sqrt(2)),(1)/(sqrt...

The matrix `A={:[((1)/(sqrt(2)),(1)/(sqrt(2))),((-1)/(sqrt(2)),(-1)/(sqrt(2)))]:}` is

A

idempotent

B

orthogonal

C

nilpotent

D

involutory

Text Solution

Verified by Experts

The correct Answer is:
3
`A^(2)=[{:(" "(1)/(2)-(1)/(2)," "(1)/(2)-(1)/(2)),(-(1)/(2)+(1)/(2),-(1)/(2)+(1)/(2)):}]`
`=[(o,o),(o,o)]`
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