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KCET2018MathematicsMatrices

If ( A = [ array cc & - & array ] ), then ( A A^ = )

Options

  1. A( A )
  2. Bzero matrix
  3. CA
  4. D( 11 )

Correct answer

D. ( 11 )

Step-by-step solution

Given that ( A= [ array cc & - & array ] ) So, ( A= [ array cc & - & array ] ) Then, [ array l A A= [ array cc & - & array ] [ array cc & - & array ] = [ array cc ² + ² & - + - + & ² + ² array ] = [ array ll 1 & 0 0 & 1 array ]=I array ]

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