If det|P| denotes the determinant of matrix P, then which of the following is…
2023
If det|P| denotes the determinant of matrix P, then which of the following is true:
Answer: C. det|P|=0 — 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
- A.
det|P| is indeterminate
- B.
det|P| is negative
- C.
det|P|=0
- D.
None of the above
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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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