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 17 -{(4²).(-2²2²-18). (1 3) (²4)·(²3)} {(₁ -6 10 -3 2 = {(2 3)· (² 2)·(33)} 3 1. S= 2. S= = {(4 2).(-1²--18)} -6 3. S= -6 -6 4.5={(4 ²).(-12 18)} S= 2 -6

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.
4
2
:) 1.5 = {(^ ²).(-²² )( )(3)(23)}
{(₁
-3
S=
17
-12-18
-6 18
).
4 -6
10
-6 -3
3 2
2
2
+ 25 = {(²,₂ ²) (²33) G7)}
9
-2 -1
-2
3
0
Select an Answer
Select an Answer
Select an Answer
Select an Answer
25-{(1
:{(4
3. S =
=) 45-{(
4. S=
4
4
-12
-18
2). (28)}
-6
-6
18
2
-6
² ) ( = 12 18 )}
www
-31
e²
Transcribed Image Text:Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. 4 2 :) 1.5 = {(^ ²).(-²² )( )(3)(23)} {(₁ -3 S= 17 -12-18 -6 18 ). 4 -6 10 -6 -3 3 2 2 2 + 25 = {(²,₂ ²) (²33) G7)} 9 -2 -1 -2 3 0 Select an Answer Select an Answer Select an Answer Select an Answer 25-{(1 :{(4 3. S = =) 45-{( 4. S= 4 4 -12 -18 2). (28)} -6 -6 18 2 -6 ² ) ( = 12 18 )} www -31 e²
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