Consider the following two matrices: -2 -1 1 0) C = 7 -1 D = 3 3 -2 1 Which of the following four products exist? CD, DC, C², D² Select one: а. none of the four products exist O b. DC,CD and D exist, while C2 does not exist Ос. DC and D2 exist, while CD and C2 do not exist O d. DC,C² and D exist, while CD does not exist e. only D exists

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 78E
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Consider the following two matrices:
-2
-1
1 0
C =
7
-1
D
2
3
3
-2
1
Which of the following four products exist?
CD,
DC, C², D²
Select one:
а.
none of the four products exist
O b. DC,CD and D² exist, while C² does not exist
Ос.
DC and D2 exist, while CD and C2 do not exist
O d. DC,C² and D² exist, while CD does not exist
e. only D- exists
Transcribed Image Text:Consider the following two matrices: -2 -1 1 0 C = 7 -1 D 2 3 3 -2 1 Which of the following four products exist? CD, DC, C², D² Select one: а. none of the four products exist O b. DC,CD and D² exist, while C² does not exist Ос. DC and D2 exist, while CD and C2 do not exist O d. DC,C² and D² exist, while CD does not exist e. only D- exists
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