Determine whether or not the following sets Sof 2 x 2 matrices are linearly independent. Select an Answer 1. 3 4 3 4 S = = {(², 4), {(2₂. 1). ( 2). (1 3)} 3 3

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 Sof 2 x 2 matrices are linearly
independent.
Select an Answer î 1.
3 4
4
4
S
= {(₁₂₂1)· (33₂)· (33)}
-2
-2
0
Select an Answer
-7
18
{(-²2).(-40 ¹8)}
-4
S
S
=
Select an Answer
S
3.
14
=
{( 2-7), (44)}
2.
Select an Answer
4.
-2
4
18
-{(3²-7). (1 ¹8). (1 3).
-2 2
-10
-4
9
10
2),
(73) (72))
-7 -2
17
-31
14 -2
=
Transcribed Image Text:Determine whether or not the following sets Sof 2 x 2 matrices are linearly independent. Select an Answer î 1. 3 4 4 4 S = {(₁₂₂1)· (33₂)· (33)} -2 -2 0 Select an Answer -7 18 {(-²2).(-40 ¹8)} -4 S S = Select an Answer S 3. 14 = {( 2-7), (44)} 2. Select an Answer 4. -2 4 18 -{(3²-7). (1 ¹8). (1 3). -2 2 -10 -4 9 10 2), (73) (72)) -7 -2 17 -31 14 -2 =
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