Determine whether or not the followingsets Sof 2 x 2 matrices are linearlyindependent.Select an Answer î 1.3 444S= {(₁₂₂1)· (33₂)· (33)}-2-20Select an Answer-718{(-²2).(-40 ¹8)}-4SS=Select an AnswerS3.14={( 2-7), (44)}2.Select an Answer4.-2418-{(3²-7). (1 ¹8). (1 3).-2 2-10-49102),(73) (72))-7 -217-3114 -2=

Answered: Determine whether or not the following…

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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Related questions

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
=

Expert Solution

Step 1: Question Description

Note: As multiple questions have been asked, so only first question 1 has been solved according to the Q&A guidelines. Please repost other questions separately.

Determine whether or not the following set of $2 cross times 2$ matrices are linearly independent.

1. $S equals open curly brackets open parentheses table row 3 4 row cell negative 2 end cell 1 end table close parentheses comma space open parentheses table row 4 3 row 3 cell negative 2 end cell end table close parentheses comma space open parentheses table row 4 cell negative 2 end cell row 3 0 end table close parentheses close curly brackets$ .