2. The matrices A and B, below, are row equivalent (so B is an echelon form of A): 3 4 -1 2 2 6 6 0-3 A = 3 9 3 6-3 3 9 0 9 0 1 3 4 -1 2 0 0 2-2 -1 0 0 0 0-3 0 000 0 (a) (3 pts) Find a basis for the column space of A. Explain your answer briefly. (b) (6 pts) Find a basis for the null space of A. Show your work.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. The matrices A and B, below, are row equivalent (so B is an echelon form of A):
3
4
-1
2
2
6
6
0-3
A =
3
9
3
6-3
3
9
0
9
0
1
3
4
-1
2
0
0
2-2
-1
0 0
0
0-3
0
000
0
(a) (3 pts) Find a basis for the column space of A. Explain your answer briefly.
(b) (6 pts) Find a basis for the null space of A. Show your work.
Transcribed Image Text:2. The matrices A and B, below, are row equivalent (so B is an echelon form of A): 3 4 -1 2 2 6 6 0-3 A = 3 9 3 6-3 3 9 0 9 0 1 3 4 -1 2 0 0 2-2 -1 0 0 0 0-3 0 000 0 (a) (3 pts) Find a basis for the column space of A. Explain your answer briefly. (b) (6 pts) Find a basis for the null space of A. Show your work.
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