Sage has a function for augmenting matrices... M. augment () Sage will also construct an identity matrix of a given size... identity_matrix (3) In the next cell, we define a matrix A, then augment it with an identity matrix, and finally, find the RREF. What is wrong? A=matrix (QQ, 3,3,[1,2,3,4,4,4,3,2,1]) B = A. augment (identity_matrix(3)).rref () B print() C=B[:, 3:6] с [ [ [ [ [ [ 1 0 0 0 1 0 0-1/2 0 3/4 1 -1 -1 2 0 1] -1] 1] 0 -1/2 1] 0 3/4 -1] 1 -1 1]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 41EQ: In general, it is difficult to show that two matrices are similar. However, if two similar matrices...
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Sage has a function for augmenting matrices... M.augment()
Sage will also construct an identity matrix of a given size... identity_matrix (3)
In the next cell, we define a matrix A, then augment it with an identity matrix, and finally, find the RREF.
What is wrong?
A=matrix (00, 3,3,[1,2,3,4,4,4,3,2,1])
B = A. augment (identity_matrix(3)). rref()
B
print ()
C=B[:, 3:6]
C
[ 1
[
[
HOO
[
[
[
0
оно
ноо
0 -1/2
120
1]
3/4 -1]
-1
1]
0 -1/2
1]
0 3/4 -1]
1 -1
1]
Transcribed Image Text:Sage has a function for augmenting matrices... M.augment() Sage will also construct an identity matrix of a given size... identity_matrix (3) In the next cell, we define a matrix A, then augment it with an identity matrix, and finally, find the RREF. What is wrong? A=matrix (00, 3,3,[1,2,3,4,4,4,3,2,1]) B = A. augment (identity_matrix(3)). rref() B print () C=B[:, 3:6] C [ 1 [ [ HOO [ [ [ 0 оно ноо 0 -1/2 120 1] 3/4 -1] -1 1] 0 -1/2 1] 0 3/4 -1] 1 -1 1]
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