Let D = (d₁.d₂.d3) and F= {f₁.f2.13) be bases for a vector space V, and suppose f₁ = 6d, -d₂ +4d3, f₂=d₂ +d3, f3 3d, +4d3. a. Find the change-of-coordinates matrix from F to D. b. Find [x]p for x = 1₁-3f₂ +3f3. a. P = D+F

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let D = (d₁.d₂.d3) and F= {f₁.f2.13) be bases for a vector space V, and suppose f₁ = 6d, -d₂ +4d3, f₂=d₂ +d3,
f3= -3d₁ +4d3.
a. Find the change-of-coordinates matrix from F to D.
b. Find [x]p for x=1₁-3f₂ +3f3.
a. P =
D+F
Transcribed Image Text:Let D = (d₁.d₂.d3) and F= {f₁.f2.13) be bases for a vector space V, and suppose f₁ = 6d, -d₂ +4d3, f₂=d₂ +d3, f3= -3d₁ +4d3. a. Find the change-of-coordinates matrix from F to D. b. Find [x]p for x=1₁-3f₂ +3f3. a. P = D+F
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