Explain why each equation is an example of the given property of determinants (A and B are square matrices). Use a graphing utility to verify the results.
1. If B is obtained from A by interchanging two rows of A or interchanging two columns of A, then |B| = ˆ’|A|.
a.

b.

2. If B is obtained from A by adding a multiple of a row of A to another row of A or by adding a multiple of a column of A to another column of A, then |B| = |A|.
a.

b.

Transcribed Image Text:

4 3 4 4 2 -5| = - -7 -7 -5 -5 2 2| 1 3. 4 Ol = - 2 2 -2 - 2 3 4,