(5) Let A, B be an n x n matrices. Explain why each of the following statements is true. (a) If B is row equivalent to A and det (B) 0, then det(A) 0 (Hint: use elementary matrices) (b) If A is not...

Linear algebra. please answer part (c)

Extracted text: (5) Let A, B be an n x n matrices. Explain why each of the following statements is true. (a) If B is row equivalent to A and det (B) 0, then det(A) 0 (Hint: use elementary matrices) (b) If A is not invertible, then A is row equivalent to a matrix with a zero row (c) If A is not invertible, then det(A) 0