a) Find the value(s) of k for the following matrix if the matrix is singular. -1 2 10 5 1 -3 k b) Given A and B are 3x3 matrices, where 12A| = 16 and |B| = 9. Find 13(ATB)-¹1.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
icon
Related questions
Question
QUESTION 3
a) Find the value(s) of k for the following matrix if the matrix is singular.
5
1
-4 -3
10 k
-1
2
b) Given A and B are 3x3 matrices, where |2A| = 16 and |B| = 9. Find 13(A¹B)-¹1.
Transcribed Image Text:QUESTION 3 a) Find the value(s) of k for the following matrix if the matrix is singular. 5 1 -4 -3 10 k -1 2 b) Given A and B are 3x3 matrices, where |2A| = 16 and |B| = 9. Find 13(A¹B)-¹1.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning