Show that the following vectors are linearly dependent, and then write one of the vectors as linear combination of the rest: -3 3 -6 2 X1 = X2 = X3 = 4 1 , X4 = -3 2 " 6 18 -8

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 12CM
icon
Related questions
icon
Concept explainers
Topic Video
Question

plz show your steps 

Show that the following vectors are linearly dependent, and then write one of the vectors as linear
combination of the rest:
-3
3
12
-1
6
-5
X1 =
4
, X2
1
, X3
18
, X4 =
-1
3
2
-8
9.
Transcribed Image Text:Show that the following vectors are linearly dependent, and then write one of the vectors as linear combination of the rest: -3 3 12 -1 6 -5 X1 = 4 , X2 1 , X3 18 , X4 = -1 3 2 -8 9.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Angles, Arcs, and Chords and Tangents
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning