5. Let u= w= [-]-[], and w (a) Show that w is not a linear combination of u. (b) Show that u and V are linearly independent. (c) Show that w is a linear combination of u and v. [9] -3].
5. Let u= w= [-]-[], and w (a) Show that w is not a linear combination of u. (b) Show that u and V are linearly independent. (c) Show that w is a linear combination of u and v. [9] -3].
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
please show all your work
![5. Let
w=
--[-]-=[][4]
[ -1 ] ,v - [ ² ], and w
u=
(a) Show that w is not a linear combination of u.
(b) Show that u and v are linearly independent.
(c) Show that w is a linear combination of u and v.
0
-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F404212fc-7efc-4bb6-bb98-f3cabaffa0da%2F4a2ef633-f08d-486a-8ac0-d09439f95b2f%2Ftrfuti_processed.png&w=3840&q=75)
Transcribed Image Text:5. Let
w=
--[-]-=[][4]
[ -1 ] ,v - [ ² ], and w
u=
(a) Show that w is not a linear combination of u.
(b) Show that u and v are linearly independent.
(c) Show that w is a linear combination of u and v.
0
-3
Expert Solution
Step 1: Define problem.
We have to show that-
- w is not a linear combination of u,
u and v are linearly independent,
w is a linear combination of u and v.
First let's define-
A set of vectors is called linearly independent if no vector in the set can be expressed as a linear combination of the other vectors in the set..
Step by step
Solved in 4 steps with 3 images
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