(Solved) Let A, B, and C be n * n matrices with det; A=1, det; B=2, and det; C=0. Calculate the rank of A B What can you say about the rank of AC


Question: Let A, B, and \(C\) be \(n \times n\) matrices with \(\operatorname{det} A=1, \operatorname{det} B=2\), and \(\operatorname{det} C=0\).

  1. Calculate the rank of A B
  2. What can you say about the rank of AC ?

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