For each of the following matrices, determine if the columns of the matrix span R?. 3 -36 -67 No 1. 4 -28 -3 1 61 Yes v 2. -24 8. v 3. 1 Yes -3 | 1 -5 10] No 4. -7 -35 70

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
You have 4 attempts on this problem.
For each of the following matrices, determine if the columns
of the matrix span
R?.
-3
1.
-36
No
-4
-28
-3
-1
Yes
2.
-9
5.
-24]
Yes
3.
-1
-3
1
-5
10]
No
-7
-35
70
4.
Transcribed Image Text:You have 4 attempts on this problem. For each of the following matrices, determine if the columns of the matrix span R?. -3 1. -36 No -4 -28 -3 -1 Yes 2. -9 5. -24] Yes 3. -1 -3 1 -5 10] No -7 -35 70 4.
Expert Solution
Step 1

For set of columns to span 2 at least two columns must be linearly independent.

(or the dimension of the column space should be 2. )

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