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If  and , then |AB| = ?

  1. -91
  2. -17
  3. 84
  4. None of these.

Answer (Detailed Solution Below)

Option 1 : -91
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Detailed Solution

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Concept:

Determinant of the product of matrices is equal to the product of determinants of the matrices.

i.e. |AB| = |A| |B|.

 

Calculation:

Given that  and 

Now, |AB| = |A| |B| = (2 - 15)(9 - 2) = -91.

 

Additional Information:

The matrix product AB will be  =  = .

And |AB| = 96 - 187 = -91.

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