Consider the following two matrices: -2 1 - C = 7 -1 D = 2 3 3 -2 Which of the following four products exist? CD, DC, C², D² Select one: a. only D? exists O b. DC, C² and D² exist, while CD does not exist O c. DC,CD and D² exist, while C2 does not exist d. none of the four products exist е. DC and D2 exist, while CD and C² do not exist

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 79E
icon
Related questions
Question
Consider the following two matrices:
-2
-1
1
C:
7
-1
D = 2
3
3
-2
1
Which of the following four products exist?
CD,
DC,
C², D²
Select one:
a. only D2 exists
O b. DC, C2 and D2 exist, while CD does not exist
DC,CD and D² exist, while C² does not exist
Ос.
O d. none of the four products exist
DC and D2 exist, while CD and C2 do not exist
е.
Transcribed Image Text:Consider the following two matrices: -2 -1 1 C: 7 -1 D = 2 3 3 -2 1 Which of the following four products exist? CD, DC, C², D² Select one: a. only D2 exists O b. DC, C2 and D2 exist, while CD does not exist DC,CD and D² exist, while C² does not exist Ос. O d. none of the four products exist DC and D2 exist, while CD and C2 do not exist е.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
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,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning