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.
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
Problem 2RQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56edfe81-d1de-4529-a58c-fde6a7905329%2F8dca3f1b-afd6-4e30-a984-9349206bf913%2F2wkqnp4_processed.jpeg&w=3840&q=75)
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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