Determine whether or not the following sets of 2 x 2 matrices are linearly independent. 1 (a) -2 -2 1 -2 -2 1 -2 This set is 1 2 -4 -8 (b) -2 -4 8 16 This set is {(', 2)· } -4 (C) -2 -4 16 16 This set is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
solve (c)
Determine whether or not the following sets of 2 x 2 matrices are linearly independent.
1
-2
-2
1
-2
(a)
1
-2
1
This set is
1
2
-4
(b)
-2
8
16
This set is
2
(c)
This set is
)}
1
2
-3
2
17 -31
(d)
-2
-4
16 16
10
e?
This set is
Transcribed Image Text:Determine whether or not the following sets of 2 x 2 matrices are linearly independent. 1 -2 -2 1 -2 (a) 1 -2 1 This set is 1 2 -4 (b) -2 8 16 This set is 2 (c) This set is )} 1 2 -3 2 17 -31 (d) -2 -4 16 16 10 e? This set is
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