Determine if b is a linear combination of a₁, a2, and a3. a₁ = 1 - 2 0 a2= 0 1 5 " a3 3 - 3 15 b= 6 - 4 40
Determine if b is a linear combination of a₁, a2, and a3. a₁ = 1 - 2 0 a2= 0 1 5 " a3 3 - 3 15 b= 6 - 4 40
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Use GeoGebra to show b as a linear combo of the a's using a solution obtained from the Reduced Row-Echelon Form, for the question below.
Transcribed Image Text:Determine if b is a linear combination of a₁, a2, and a3.
a₁
1
- 2
0
a₂ =
0
1
5
"
a3
3
- 3
15
b=
6
- 4
40
Expert Solution
Step 1
We will suppose b is linear combination of a1 , a2 , a3.
then find the scalars if atleast one if the scalar is non zero then b is written as linear combination of given vector.
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