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A and B aren x n matrices. Check the true statements below: OA. det AT = (-1) det A. OB. If det A is zero, then two rows or two columns are the same, or a row or a column is zero. OC. If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix. D. The determinant of A is the product of the diagonal entries in A.

A and B aren x n matrices. Check the true statements below: OA. det AT = (-1) det A. OB. If det A is zero, then two rows or two columns are the same, or a row or a column is zero. OC. If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix. D. The determinant of A is the product of the diagonal entries in A.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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A and B are n × n matrices. Check the true statements below: OA. det A" = (-1) det A. B. If det A is zero, then two rows or two columns are the same, or a row or a column is zero. C. If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix. OD. The determinant of A is the product of the diagonal entries in A.
Transcribed Image Text:A and B are n × n matrices. Check the true statements below: OA. det A" = (-1) det A. B. If det A is zero, then two rows or two columns are the same, or a row or a column is zero. C. If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix. OD. The determinant of A is the product of the diagonal entries in A.
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