Suppose that T is a linear transformation from R" to Rm where m

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 22CR: Let T be a linear transformation from R2 into R2 such that T(1,1)=(2,3) and T(0,2)=(0,8). Find...
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Suppose that T is a linear transformation from R" to Rm where m <n
Answer the following:
What are the maximum and minimum dimensions for the image of T?
What are the maximum and minimum dimensions for the null space of T?
Transcribed Image Text:Suppose that T is a linear transformation from R" to Rm where m <n Answer the following: What are the maximum and minimum dimensions for the image of T? What are the maximum and minimum dimensions for the null space of T?
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