Question 2: The 3x3 matrices A and B are defined in term of a constant k by: 2 -1 [k [1 -3 21 and k A 1 B %3D %3D 15 -1 1. L4 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.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.26P: A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what...
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Question 2: The 3x3 matrices A and B are defined in term of a constant k by:
[1
-3
[k
A =
15
9.
27
1
0.
and
B =
-1
-1
11
[4
1
1
a) Find an expression for det A, in terms of k. e N
b) Find the possible values of k given that AB is singular.
Transcribed Image Text:Question 2: The 3x3 matrices A and B are defined in term of a constant k by: [1 -3 [k A = 15 9. 27 1 0. and B = -1 -1 11 [4 1 1 a) Find an expression for det A, in terms of k. e N b) Find the possible values of k given that AB is singular.
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