2. The 3 x 3 matrices A and B are defined in terms of a scalar constant k by [k k 9. 2 + m' [1+m -3 2 A = 1 and B = k 2 -1 15 -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.
2. The 3 x 3 matrices A and B are defined in terms of a scalar constant k by [k k 9. 2 + m' [1+m -3 2 A = 1 and B = k 2 -1 15 -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
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=0
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa548e58a-154d-492b-abaf-4d42a26b73e7%2F10e7e7c0-5586-46b3-9095-d0bf3f191dd1%2F7h1d0rc_processed.jpeg&w=3840&q=75)
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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