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Paragraph: Let A and B be (3 3) matrices with det A=4 and det B=3 . Question: What is det (2 AB ) equal to ?

Options

  1. A96
  2. B72
  3. C48
  4. D36

Correct answer

A. 96

Step-by-step solution

A and B are (3 3) matrices aligned & det A=4 & det B=3 & det (2 AB )=(2)^3| ~A || B | & =2^3(4)(3)=8(4)(3)=96 aligned

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