1 1 1 3 1 2 1 0 0 0 0 1 0 2 3 Let A 3 -1 (a) Is y E im(A)? Explain. 1 1 0 0 0 1 0 0 0 1 0 0 0 -1 2 (b) The RREF of A is Find a basis for im(A). 2 (C) What is dim null(A)? Explain your answer.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 70E: Find a basis for R3 that includes the vector (1,0,2) and (0,1,1).
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1 1 1 3
1 2 1
0 0 0 0
0 2 3
5
Let A
3
(a) Is y =
E im(A)? Explain.
1 0 0
0 1 0
0 0 1
0 0 0
-1
(b) The RREF of A is
2
Find a basis for im(A).
(C) What is dim null(A)? Explain your answer.
Transcribed Image Text:1 1 1 3 1 2 1 0 0 0 0 0 2 3 5 Let A 3 (a) Is y = E im(A)? Explain. 1 0 0 0 1 0 0 0 1 0 0 0 -1 (b) The RREF of A is 2 Find a basis for im(A). (C) What is dim null(A)? Explain your answer.
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