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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 63EQ
icon
Related questions
Question

please help me ..

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.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,