Determine whether or not the following sets S of 2x2 matrices are linearly independent.
Determine whether or not the following sets S of 2x2 matrices are linearly independent.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Determine whether or not the following sets S of 2x2 matrices are linearly independent.
![{(-
1
2
-4
1) S = {
-4
-4
24 16
2) S = { ( .
1
2
-4 -8
-4
-4
16
16 /](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5547adab-2900-42ce-b82b-a048a6fc1b01%2F39fbb9fe-3c6e-441e-bc23-4e99747ef008%2F0b7xmh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:{(-
1
2
-4
1) S = {
-4
-4
24 16
2) S = { ( .
1
2
-4 -8
-4
-4
16
16 /
![2
-4
8
1
-3
S =
%3D
-4
17
24
-31
9 10
-4
16
2
-8
-4
e²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5547adab-2900-42ce-b82b-a048a6fc1b01%2F39fbb9fe-3c6e-441e-bc23-4e99747ef008%2F1bwdjnr_processed.png&w=3840&q=75)
Transcribed Image Text:2
-4
8
1
-3
S =
%3D
-4
17
24
-31
9 10
-4
16
2
-8
-4
e²
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