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If A = ( array cc i & 0 0 & -i array ), B = ( array cc 0 & -1 1 & 0 array ), C = ( array cc 0 & i i & 0 array ) where i= -1 , then which one of the following is correct?

Options

  1. AAB =- C
  2. BAB = C
  3. CA ^2= B ^2= C ^2= I , where I is the identity matrix
  4. DB A C

Correct answer

A. AB =- C

Step-by-step solution

aligned A B & = | array cc i & 0 0 & -i array | | array cc 0 & -1 1 & 0 array | & = | array cc 0 & -i -i & 0 array |=- C aligned

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