Q=matrix(QQ,4,3, [−7,−22,−4,12,137,−13,-18,-213,21,15,115,−5]) print(Q) print() print(Q.rref())

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Executing the following sage code constructs a matrix Q, then prints the matrix and its reduced
row echelon form.
Q=matrix(QQ, 4, 3, [-7, -22,-4, 12, 137,-13,-18, -213, 21,15,115,-5])
print(Q)
print()
print(Q.rref())
The output is:
[ -7 -22
-4]
[ 12 137 -13]
[-18 -213 21]
[ 15 115 -5]
[
[
[
[
1
0
0
0
0 6/5]
1 -1/5]
0
0
0]
0]
Transcribed Image Text:Executing the following sage code constructs a matrix Q, then prints the matrix and its reduced row echelon form. Q=matrix(QQ, 4, 3, [-7, -22,-4, 12, 137,-13,-18, -213, 21,15,115,-5]) print(Q) print() print(Q.rref()) The output is: [ -7 -22 -4] [ 12 137 -13] [-18 -213 21] [ 15 115 -5] [ [ [ [ 1 0 0 0 0 6/5] 1 -1/5] 0 0 0] 0]
Expert Solution
Step 1: Linearly independent vectors

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