In P,, find the change-of-coordinates matrix from the basis 8= {1-31-3+1+ 10t 1+ 21) to the standard basis Then write t as a linear combination of the polynomials in B. In P2, find the change-of-coordinates matrix from the basis B to the standard basis. 1 2 -4 CB 3 7 (Simplify your answers) Write as a linear combination of the polynornials in B. 2= -9(1+ 3) + (2+1+7?) + 1(1- 4t) (Simplify your answers) o Ten

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 64CR: a Find a symmetric matrix B such that B2=A for A=[2112] b Generalize the result of part a by proving...
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In P,, find the change-of-coordinates matrix from the basis 8= {1-31-3+1+ 10t 1+ 21) to the standard basis Then write t as a linear combination of the polynomials in B.
In P2, find the change-of-coordinates matrix from the basis B to the standard basis.
1 2
-4
CB
3 7
(Simplify your answers)
Write as a linear combination of the polynornials in B.
2= -9(1+ 3) + (2+1+7?) + 1(1- 4t)
(Simplify your answers)
o Ten
Transcribed Image Text:In P,, find the change-of-coordinates matrix from the basis 8= {1-31-3+1+ 10t 1+ 21) to the standard basis Then write t as a linear combination of the polynomials in B. In P2, find the change-of-coordinates matrix from the basis B to the standard basis. 1 2 -4 CB 3 7 (Simplify your answers) Write as a linear combination of the polynornials in B. 2= -9(1+ 3) + (2+1+7?) + 1(1- 4t) (Simplify your answers) o Ten
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