Consider the following two matrices: -1 4 2 1 A = 2 -1 B 3 1 3 -1 -2 Which of the following four products exist? A², B, АВ, ВА Select one: а. none of the four products exist O b. only B exists B', AB and BA exist, while A² does not exist С. O d. A?, B' and BA exist, while AB does not exist B and BA exist, while A? and AB do not exist е.

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
Consider the following two matrices:
-1
4
2
1 0
A =
2
-1
В
3
1
3
-2
1
Which of the following four products exist?
A², B°,
ВА
Select one:
а.
none of the four products exist
O b. only B exists
c. B', AB and BA exist, while A² does not exist
O d. A², B³ and BA exist, while AB does not exist
e. B' and BA exist, while A² and AB do not exist
Transcribed Image Text:Consider the following two matrices: -1 4 2 1 0 A = 2 -1 В 3 1 3 -2 1 Which of the following four products exist? A², B°, ВА Select one: а. none of the four products exist O b. only B exists c. B', AB and BA exist, while A² does not exist O d. A², B³ and BA exist, while AB does not exist e. B' and BA exist, while A² and AB do not exist
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
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,