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If A = [{:(0,1),(1,0):}], then the matr...

If `A = [{:(0,1),(1,0):}]`, then the matrix A is/an

A

Singular matrix

B

Involutory matrix

C

Nilpotent matrix

D

Inempotent matrix

Text Solution

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The correct Answer is:
B
`A=[{:(1,0),(0,1):}]`
`A^(2)=[{:(1,0),(0,1):}][{:(1,0),(0,1):}]`
`=[{:((1)(1)+(0)(0),(1)(0)+(0)(1)),((0)(1)+(1)(0),(0)(0)+(1)(1)):}]`
`=[{:(1,0),(0,1):}]=A`
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