Consider the vectors in R 1 1 1 V2 =| 2 V3 = | 4 -1 1 Write the system, which corresponds to the equation a,v,+a,v2+a3V3 = 0, where a1, a2, az are some real numbers. Select one: None of those a,+a2 =1 5a, +2a, = 4 -a,+a2 = 3

Consider the vectors in R 1 1 1 V2 =| 2 V3 = | 4 -1 1 Write the system, which corresponds to the equation a,v,+a,v2+a3V3 = 0, where a1, a2, az are some real numbers. Select one: None of those a,+a2 =1 5a, +2a, = 4 -a,+a2 = 3

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...

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Question

Consider the vectors in R3
1
1
V1
V2
V3 =
4
-1
1
Write the system, which corresponds to the
equation a,v,+a,v2+a3v3 = 0, where
a1, a2, az are some real numbers.
Select one:
None of those
a,+a2 = 1
5a, +2a, = 4
-a,+a2 = 3
a,+az+az =0
5a, +2a2+4a3= 0
-a,+a2-3a3 =0
a, +a2+a3 =0
5a, +2a2+4a3 = 0
-a,+a2+3a3 = 0
a,+az+a3=0
5a, +2a,+4a3 =0
a,+a2+3a3 =0

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