Let T: UV be a linear transformation. Use the rank-nullity theorem to complete the information in the table below. U dim(U) rank (T) nullity (T) R1x3 3 1 Ex: 5 R2x2 Ex: 5 Ex: 5 3 R5x3 Ex: 5 Ex: 5 6
Let T: UV be a linear transformation. Use the rank-nullity theorem to complete the information in the table below. U dim(U) rank (T) nullity (T) R1x3 3 1 Ex: 5 R2x2 Ex: 5 Ex: 5 3 R5x3 Ex: 5 Ex: 5 6
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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![Let T: U → V be a linear transformation. Use the rank-nullity theorem to
complete the information in the table below.
U
dim(U)
rank (T)
nullity (T)
R1x3
3
1
Ex: 5
R2x2
Ex: 5
Ex: 5
3
R5x3
Ex: 5
Ex: 5
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08b3a836-a24a-4d13-af71-8af528c6e51a%2F610f310f-2282-45cf-8c7c-c3faafa7bb31%2Ftw5kozw_processed.png&w=3840&q=75)
Transcribed Image Text:Let T: U → V be a linear transformation. Use the rank-nullity theorem to
complete the information in the table below.
U
dim(U)
rank (T)
nullity (T)
R1x3
3
1
Ex: 5
R2x2
Ex: 5
Ex: 5
3
R5x3
Ex: 5
Ex: 5
6
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