Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. 2-7 -4 0 {(²7)· (2 9)} 3 -28 Select an Answer 1. S=

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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Determine whether or not the following sets S of 2 x 2 matrices are linearly independent.
2
- {(²7_-3) · (– 2 8
Select an Answer
Select an Answer
Select an Answer
Select an Answer
1. S=
✓2. S
✓3. S
✓4. S
0
_%)}
2 -7
-4 0
1 -3
-7 2
=
-{(² −˜3)· ( 2 %)· (38³), (141
(1
-28 -6
9 10
14
=
2 -7
14
{(²-3), (44)}
4
-1
=
-{(12² 1), (4-2)· (4 3)}
-31
2), (17 (3¹)}
Transcribed Image Text:Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. 2 - {(²7_-3) · (– 2 8 Select an Answer Select an Answer Select an Answer Select an Answer 1. S= ✓2. S ✓3. S ✓4. S 0 _%)} 2 -7 -4 0 1 -3 -7 2 = -{(² −˜3)· ( 2 %)· (38³), (141 (1 -28 -6 9 10 14 = 2 -7 14 {(²-3), (44)} 4 -1 = -{(12² 1), (4-2)· (4 3)} -31 2), (17 (3¹)}
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