Let B = = (1,x+9, (x − 1)², 6x³) - be an ordered basis for P3. Find the coordinate vector of f(x) = 6x3+9x2+4x-7 relative to B. fB =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
Question
Let B =
=
(1,x+9, (x − 1)², 6x³)
-
be an ordered basis for P3. Find the coordinate vector of
f(x) = 6x3+9x2+4x-7 relative to B.
fB =
Transcribed Image Text:Let B = = (1,x+9, (x − 1)², 6x³) - be an ordered basis for P3. Find the coordinate vector of f(x) = 6x3+9x2+4x-7 relative to B. fB =
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning