6. Shown below are matrix A and its rref, R. A = b. Find nullity (AT). 3 -6 0 1 1 5 01 00 000 2 -4 1 21 оло a. Find a basis for the column space of A. R = 1 0 -0 0 1 3 3 2 2 0 0 1 5 5 0001 -1 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 47EQ
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Q6 Please write on paper with the Question written down on paper too I appreciate it.
6.
Shown below are matrix A and its rref, R.
3 0
5
0 0
b. Find nullity (A¹).
A = -6
100
a. Find a basis for the column space of A.
100
5
-4
2
0
1
2
R=
1 0
0
¹0
1
0
1 1
3
3
2 2
00
0
0
3
-1
1
Transcribed Image Text:6. Shown below are matrix A and its rref, R. 3 0 5 0 0 b. Find nullity (A¹). A = -6 100 a. Find a basis for the column space of A. 100 5 -4 2 0 1 2 R= 1 0 0 ¹0 1 0 1 1 3 3 2 2 00 0 0 3 -1 1
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