If A and B are 3 × 3 matrices with |A| = 4 and |B| = -2, compute the following determinants. (c) |B²| (d) |AB| (a) |2A| (b) 4At (e) |AB-¹| (f) (A²B-¹)t|

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 1SE: Explain why we can always evaluate the determinant of a square matrix.
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6. If A and B are 3 × 3 matrices with |A|
(a) |2A|
(b) |4At|
=
4 and B
(c) |B²|
(d) |AB|
==
-2, compute the following determinants.
(e) |AB-¹|
(f) |(A²B−¹)|
Transcribed Image Text:6. If A and B are 3 × 3 matrices with |A| (a) |2A| (b) |4At| = 4 and B (c) |B²| (d) |AB| == -2, compute the following determinants. (e) |AB-¹| (f) |(A²B−¹)|
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