Let T: R7 → M₂2 be a linear transformation. If the dimension of the kernel of T is 4, what is rank(T)?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 20CR: Let T be a linear transformation from R3 into R such that T(1,1,1)=1, T(1,1,0)=2 and T(1,0,0)=3....
icon
Related questions
Question
100%

Need help with this question. Thank you :)

 

Let T: R7 → M22 be a linear transformation. If the dimension of the kernel of T' is 4, what is
rank(T)?
Answer:
Transcribed Image Text:Let T: R7 → M22 be a linear transformation. If the dimension of the kernel of T' is 4, what is rank(T)? Answer:
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning