Given a generic 2x2 matrix A, and a second 2x2 matrix C, show the following: a. If you exchange two rows of A to produce matrix B, then det(A) = -det(B). b. det AT = det A c. JAC| = |A||C|


Please include properties and rules for each step


Given a generic 2x2 matrix A, and a second 2x2 matrix C, show the following:<br>a. If you exchange two rows of A to produce matrix B, then det(A) = -det(B).<br>b. det AT = det A<br>c. JAC| = |A||C|<br>

Extracted text: Given a generic 2x2 matrix A, and a second 2x2 matrix C, show the following: a. If you exchange two rows of A to produce matrix B, then det(A) = -det(B). b. det AT = det A c. JAC| = |A||C|

Jun 04, 2022
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