If det|P| denotes the determinant of matrix P, then which of the following is…

2023

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If det|P| denotes the determinant of matrix P, then which of the following is true:

  1. A.

    det|P| is indeterminate

  2. B.

    det|P| is negative

  3. C.

    det|P|=0

  4. D.

    None of the above

     

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Show answer & explanation

Correct answer: C

Look at rows:

  • Row₃ = 2× Row₁

(6,4,2,8)=2×(3,2,1,4)

If any two rows are linearly dependent, then:

det⁡(P)=0

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