Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. = {( = {(2² Select an Answer Select an Answer Select an Answer 1. S= v2.S= 3.S= 15 17 5 )· (55 %). (¹ 3) (2 3) (²3)} 7 50 30 9 10 1)· (4_;')· (4 38)} 2 -3 5 -5 -6 " 25)} 15 -25 25 30

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
Determine whether or not the following sets S of 2 x 2 matrices are linearly independent.
Select an Answer
Select an Answer
Select an Answer
Select an Answer
-3
15
-3
1¹² = {(5) ( ) ( ) ( ) ( )
1. S
3
-5 -6
50 30
9
-5
-1
-{(24)· (4 2¹). (4 3)}
v 2. S=
3. S
= {(3
-5
-3
= {(³
-5
4. S =
5), (25 -35)}
-6
30
15 0
5), (55 %)}
-6
50 30
Transcribed Image Text:Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. Select an Answer Select an Answer Select an Answer Select an Answer -3 15 -3 1¹² = {(5) ( ) ( ) ( ) ( ) 1. S 3 -5 -6 50 30 9 -5 -1 -{(24)· (4 2¹). (4 3)} v 2. S= 3. S = {(3 -5 -3 = {(³ -5 4. S = 5), (25 -35)} -6 30 15 0 5), (55 %)} -6 50 30
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