multiple choice question Question 1 ·Which of the below is not true? Here, A is

Question

multiple choice question Question 1 ·Which of the below is not true? Here, A is an n × n matrix A. B. C. D. If a row replacement operation is performed ona matrix A, its determinant does not change. If two rows of a matrix A are interchanged, its determinant does not change. If two columns (or two rows) ofA are the same, then det A = 0. A is invertible if and only if det A 0. The determinant of an invertible matrix A is the determinant of its echelon form, which is obtained without scaling, multiplied by (-1), where r is the number of row interchanges. E.

Explanation / Answer

option B not true.

if two rows are interchanged then sign determinant is inverted

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