(i) Find all vectors x E R' such that T(x) = b.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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(3) Problem 5. Please provide a typewritten solution! I will be very grateful! 

Please, solve only (i)

Problem 5. Let T denote the linear transformation T(x) = A7x, where
G) ()
9.
-1
15
6.
AT
-3 1
-4
Let b
-5
1
2
3
1
(i) Find all vectors x E Rª such that T(x) = b.
(ii) Write down a basis for the null space N(T).
(iii) Find the range R(T).
Transcribed Image Text:Problem 5. Let T denote the linear transformation T(x) = A7x, where G) () 9. -1 15 6. AT -3 1 -4 Let b -5 1 2 3 1 (i) Find all vectors x E Rª such that T(x) = b. (ii) Write down a basis for the null space N(T). (iii) Find the range R(T).
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