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The 3 x 3 matrices A and B are defined in terms of a scalar constant k by 9 2 + mī [1+ т —3 2 A = |1 [5 k and В 3 k 2 -1 -1 1 4 1 1 a. Find an expression for det A, in terms of k. b. Find the possible values of k given that AB is singular.

The 3 x 3 matrices A and B are defined in terms of a scalar constant k by 9 2 + mī [1+ т —3 2 A = |1 [5 k and В 3 k 2 -1 -1 1 4 1 1 a. Find an expression for det A, in terms of k. b. Find the possible values of k given that AB is singular.

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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Note:  m=7

2. The 3 x 3 matrices A and B are defined in terms of a scalar constant k by 2 + m] [k k 9. [1+m -3 2 A = 1 and B = k -1 15 -1 1 4 1 a. Find an expression for det A, in terms of k. b. Find the possible values of k given that AB is singular.
Transcribed Image Text:2. The 3 x 3 matrices A and B are defined in terms of a scalar constant k by 2 + m] [k k 9. [1+m -3 2 A = 1 and B = k -1 15 -1 1 4 1 a. Find an expression for det A, in terms of k. b. Find the possible values of k given that AB is singular.
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