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If A= [ array ll 0 & 1 1 & 0 array ] , then matrix A is/an

Options

  1. ASingular matrix
  2. BInvolutory matrix
  3. CNilpotent matrix
  4. DIdempotent matrix

Correct answer

B. Involutory matrix

Step-by-step solution

A= [ array ll 1 & 0 0 & 1 array ] aligned & A^2= [ array ll 1 & 0 0 & 1 array ] [ array ll 1 & 0 0 & 1 array ] & = [ array ll (1)(1)+(0)(0) & (1)(0)+(0)(1) (0)(1)+(1)(0) & (0)(0)+(1)(1) array ] & = [ array ll 1 & 0 0 & 1 array ]= A aligned It is involuntary matrix.

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