[:] -2 B = {V₁, V2, V3} is a basis for R³ (you don't have to verify this). Set V1 = " V2 = 2 3 , V3 = ; note that 2 Suppose the B-coordinates [v] for a vector v € R³ are equal to A Find the standard coordinates for v. Show your work.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1
1]
1
3
B = {V1, V2, V3} is a basis for R³ (you don't have to verify this).
Suppose the B-coordinates [v] 3 for a vector v € R³ are equal to
Find the standard coordinates for v. Show your work.
Set V₁ =
V2 =
1
9
V3 =
0
0
-2
; note that
2
1
1
Transcribed Image Text:1 1] 1 3 B = {V1, V2, V3} is a basis for R³ (you don't have to verify this). Suppose the B-coordinates [v] 3 for a vector v € R³ are equal to Find the standard coordinates for v. Show your work. Set V₁ = V2 = 1 9 V3 = 0 0 -2 ; note that 2 1 1
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