Consider the vectors in R3 1 1 1 v, = V2 =| 2 V3 = 4 %3D -2 1 -3 Write the system, which corresponds to the equation a,v,+a2V2+a3V3= = 0, where a,, a,, az are some real numbers.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section: Chapter Questions
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Consider the vectors in R3
1
1
V, =
V2 =
2
V3 =
-2
-3
Write the system, which corresponds to the equation a,v,+a,v2+a3v3= 0,
where a,, a,, az are some real numbers.
Select one:
a,+az+a3=0
5a, +2a,+4a3=0
a,+az+3a3=0
None of those
O a, +a,=1
5a, +2a, = 4
-a,+a2 = -3
a,+a,+a3
= 0
5a, +2a,+4a3 =0
-a, +a2-3a3 = 0
a,+a2+a3=0
5a, +2a,+4a3 =0
-2a, +a2-3a3 =0
Clear my choice
Transcribed Image Text:Consider the vectors in R3 1 1 V, = V2 = 2 V3 = -2 -3 Write the system, which corresponds to the equation a,v,+a,v2+a3v3= 0, where a,, a,, az are some real numbers. Select one: a,+az+a3=0 5a, +2a,+4a3=0 a,+az+3a3=0 None of those O a, +a,=1 5a, +2a, = 4 -a,+a2 = -3 a,+a,+a3 = 0 5a, +2a,+4a3 =0 -a, +a2-3a3 = 0 a,+a2+a3=0 5a, +2a,+4a3 =0 -2a, +a2-3a3 =0 Clear my choice
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