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The 3 x 3 matrices A and B are defined in terms of a scalar constant k by [k 9 A = 1 k l5 -1 a. Find an expression for det A, in terms of k. b. Find the possible values of k given that AB is singular. 1+0 -3 B = 2+0 2 and k 2 -1 1 4 1 1

The 3 x 3 matrices A and B are defined in terms of a scalar constant k by [k 9 A = 1 k l5 -1 a. Find an expression for det A, in terms of k. b. Find the possible values of k given that AB is singular. 1+0 -3 B = 2+0 2 and k 2 -1 1 4 1 1

Advanced Engineering Mathematics
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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The 3 x 3 matrices A and B are defined in terms of a scalar constant k by [k A = 1 9 2+0 1+0 -3 and B = k I5 -1 a. Find an expression for det A, in terms of k. b. Find the possible values of k given that AB is singular. k -1 1 4 1 1
Transcribed Image Text:The 3 x 3 matrices A and B are defined in terms of a scalar constant k by [k A = 1 9 2+0 1+0 -3 and B = k I5 -1 a. Find an expression for det A, in terms of k. b. Find the possible values of k given that AB is singular. k -1 1 4 1 1
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