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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
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A and B are n x n matrices.
Check the true statements below:
A. If det A is zero, then two rows or two columns are the same, or a row or a column is zero.
B. det AT = (-1)det A.
C. The determinant of A is the product of the diagonal entries in A.
D. If two row interchanges are made in sucession, then the determinant of the new matrix is
equal to the determinant of the original matrix.
Transcribed Image Text:A and B are n x n matrices. Check the true statements below: A. If det A is zero, then two rows or two columns are the same, or a row or a column is zero. B. det AT = (-1)det A. C. The determinant of A is the product of the diagonal entries in A. D. If two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix.
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