Find a basis for the column spac Find a basis for Col B where O [1 1 0 -2 0 0 1 4 0 0 0 0 0 0 0 0 10 0 0 0 0 1 0 0 0 0 0 0 0 T 0 О 0 0 0 0 0 0 О ооо - О 0 0
Find a basis for the column spac Find a basis for Col B where O [1 1 0 -2 0 0 1 4 0 0 0 0 0 0 0 0 10 0 0 0 0 1 0 0 0 0 0 0 0 T 0 О 0 0 0 0 0 0 О ооо - О 0 0
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
![Find a basis for the column space of the matrix.
Find a basis for Col B where
[1 1 0 -2 0
0 0 1 4 0
0
B= 0
0
0 0
О 0 0
О
О
О
0
0
О
0
ооо нс
О О
0 1
0]
0
0 0 10
0 0 1
0
0 о
0 0
0
O
ЕДНЕ
0
0 О
0 1
0
ООО-
нос
0
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ecf1484-f95f-4119-9858-43c8382b92c0%2F43b5cfd2-3214-4b97-a831-66fb76e39324%2F4696c56v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find a basis for the column space of the matrix.
Find a basis for Col B where
[1 1 0 -2 0
0 0 1 4 0
0
B= 0
0
0 0
О 0 0
О
О
О
0
0
О
0
ооо нс
О О
0 1
0]
0
0 0 10
0 0 1
0
0 о
0 0
0
O
ЕДНЕ
0
0 О
0 1
0
ООО-
нос
0
0

Transcribed Image Text:Find a basis for the column space of the matrix.
[-1
Let A = 2
O
7123
1123
0
3
3
-2
-2
246
0
-6
It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A.
2159
7791
-11
7
050
-9
-11
2
-1
-5
-9 -1
3
1 and B
=
[1 -3
0
1
0
0
0
0
-7 -2
0
0
1 3
5 -3 -5
0 0
0
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