Problem 4. For each matrix, (i) find n such that the columns of the matrix are vectors in R", (ii) find the reduced row echelon form of each matrix, (iii) circle each pivot column, (iv) determine if the columns of the matrix form a basis for the space in (i). (b) 0 0 0 0 1 2 0 6 -9 0 4 -2 8 4 4

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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Problem 4. For each matrix, (i) find n such that the columns of the matrix are vectors in R", (ii) find the
reduced row echelon form of each matrix, (iii) circle each pivot column, (iv) determine if the columns of the
matrix form a basis for the space in (i).
(b)
0
0
0
0
1
2
0
6 -9
4
0
-2
4
8
4
Transcribed Image Text:Problem 4. For each matrix, (i) find n such that the columns of the matrix are vectors in R", (ii) find the reduced row echelon form of each matrix, (iii) circle each pivot column, (iv) determine if the columns of the matrix form a basis for the space in (i). (b) 0 0 0 0 1 2 0 6 -9 4 0 -2 4 8 4
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