3. Find a basis for the null space of the matrix 4 5 21 3 0 1 3 2 2] 4. Find a basis for the column space of the matrix in problem 3. 5. What is the rank of the matrix in problems 3 and 4? What is the nullity (dimension of the null space) of this matrix? A = 1 2 -1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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Please answer all questions as they are all related.
3. Find a basis for the null space of the matrix
A =
1
2
L-1
4
1
3
532
2
0
2]
4. Find a basis for the column space of the matrix in problem 3.
5. What is the rank of the matrix in problems 3 and 4? What is the nullity (dimension of the null
space) of this matrix?
Transcribed Image Text:3. Find a basis for the null space of the matrix A = 1 2 L-1 4 1 3 532 2 0 2] 4. Find a basis for the column space of the matrix in problem 3. 5. What is the rank of the matrix in problems 3 and 4? What is the nullity (dimension of the null space) of this matrix?
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