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
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
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe77b0cdf-5c02-4d4c-b821-7aecf5c0ee42%2F9afabdf1-859b-4ccb-8e5a-0b42db0d58c0%2Fut222cx_processed.jpeg&w=3840&q=75)
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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