Let -4 4 0 5 -1 0 1 A = and R = 2 2 -5 0 00 2 2 -1 0 0 0 (a) Find a basis for row space of the matrix A (b) Find a basis for the column space of the matrix A (c) Find a basis for the null space of matrix A -4 1 0 5 1 is the reduced echelon form of A
Let -4 4 0 5 -1 0 1 A = and R = 2 2 -5 0 00 2 2 -1 0 0 0 (a) Find a basis for row space of the matrix A (b) Find a basis for the column space of the matrix A (c) Find a basis for the null space of matrix A -4 1 0 5 1 is the reduced echelon form of A
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
Problem 9RQ
Related questions
Question
![Let
0
-4 41
5 -1
01
A =
and R =
is the reduced echelon form of A
2
2 -5
0
0
0
2
2 -1
0
0
0
(a) Find a basis for row space of the matrix A
(b) Find a basis for the column space of the matrix A
(c) Find a basis for the null space of matrix A
-4
5
1
0
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F369eb33d-5550-4191-a702-94922b8cf6c1%2F82069a14-7ee2-4fae-a108-1b0fce42e5a8%2F02quh2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let
0
-4 41
5 -1
01
A =
and R =
is the reduced echelon form of A
2
2 -5
0
0
0
2
2 -1
0
0
0
(a) Find a basis for row space of the matrix A
(b) Find a basis for the column space of the matrix A
(c) Find a basis for the null space of matrix A
-4
5
1
0
1
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