# (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

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1 views help_outlineImage Transcriptionclose(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 fullscreen
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Step 1

5.

(c).

Note that, a matrix is singular if and o...

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