The matrix `A={:[((1)/(sqrt(2)),(1)/(sqrt(2))),((-1)/(sqrt(2)),(-1)/(sqrt(2)))]:}` is
The matrix `A={:[((1)/(sqrt(2)),(1)/(sqrt(2))),((-1)/(sqrt(2)),(-1)/(sqrt(2)))]:}` is
A. idempotent
B. orthogonal
C. nilpotent
D. involutory
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Correct Answer - 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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