Verify that det AB = (det A)(det B), where the matrices A and B are given below. 30 20 -318-24 A = 61 B= 5 Calculate det A and det B. det A= 3, det B = 8 (Simplify your answers.) Now calculate the product (det A)(det B). (det A)(det B) = 24 (Simplify your answer.) Calculate the product of matrices AB. AB = (Type an integer or decimal for each matrix element.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 3E
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Verify that det AB = (det A)(det B), where the matrices A and B are given below.
30
20
-318-24
A =
61
B=
5
Calculate det A and det B.
det A= 3, det B = 8 (Simplify your answers.)
Now calculate the product (det A)(det B).
(det A)(det B) = 24 (Simplify your answer.)
Calculate the product of matrices AB.
AB =
(Type an integer or decimal for each matrix element.)
Transcribed Image Text:Verify that det AB = (det A)(det B), where the matrices A and B are given below. 30 20 -318-24 A = 61 B= 5 Calculate det A and det B. det A= 3, det B = 8 (Simplify your answers.) Now calculate the product (det A)(det B). (det A)(det B) = 24 (Simplify your answer.) Calculate the product of matrices AB. AB = (Type an integer or decimal for each matrix element.)
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