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COMEDK2012MathematicsDeterminants

If A= [ array cc 1 & _ b a _ a b & 1 array ] , then |A| is equal to

Options

  1. A0
  2. B_ a b
  3. C-1
  4. D_ b a

Correct answer

A. 0

Step-by-step solution

We have, A= [ array cc 1 & _ b a _ a b & 1 array ] Now, aligned |A| &= | array cc 1 & _ b a _ a b & 1 array | &=1- _ a b _ b a &=1- _ a b 1 _ a b _ b a= 1 _ a b &=1-1=0 aligned

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