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|
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|
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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