A = -4 9 -7 -7 5 4-4-9-9 11 16 7 5 6 -9 -7 -8 11 -6 -7 -7 13 -8 5 6 -9 -7-9 -6 18 7 8 -7 -8 11 7 -34 B =
A = -4 9 -7 -7 5 4-4-9-9 11 16 7 5 6 -9 -7 -8 11 -6 -7 -7 13 -8 5 6 -9 -7-9 -6 18 7 8 -7 -8 11 7 -34 B =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
a. Reduce the following to row echelon forms
b. Do the columns of A span \mathbb{R}^4? Why or why not?
c.Do the columns of B span \mathbb{R}^4? Why or why not?
d. Which (if any) columns of B may be individually deleted to leave a 4 by 4 matrix whose columns span \mathbb{R}^4? You need to consider what happens when you delete each and every column individually here. Can you delete more than one column from B and be left with a matrix whose columns span \mathbb{R}^4?
![5
6
4
-9
-7
9
-8 -7 5
-4 -9 -9
11 16 7
8
11
-6
-7
13
-7
-8 5 6 -9
11 7 -7 -9 -6
-3
4
1 8 7
B =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3886e624-3ad7-4547-aeab-f36b3d1dd04a%2F8e0e378a-b707-4b40-bfcc-8e6e69284852%2F0cm3ki_processed.png&w=3840&q=75)
Transcribed Image Text:5
6
4
-9
-7
9
-8 -7 5
-4 -9 -9
11 16 7
8
11
-6
-7
13
-7
-8 5 6 -9
11 7 -7 -9 -6
-3
4
1 8 7
B =
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