In P,, find the change-of-coordinates matrix from the basis B = {1+5t“, - 6 +t- 29t“,1- 6t} to the standard basis. Then write t? as a linear combination of the polynomials in B. In P,, find the change-of-coordinates matrix from the basis B to the standard basis. 1 6 1 P = 1 -6 C-B 29 (Simplify your answer.) Write t? as a linear combination of the polynomials in B. 2=](1+51?) +[(-6+t-29²) +[k1 -6t) (Simplify your answers.)

In P,, find the change-of-coordinates matrix from the basis B = {1+5t“, - 6 +t- 29t“,1- 6t} to the standard basis. Then write t? as a linear combination of the polynomials in B. In P,, find the change-of-coordinates matrix from the basis B to the standard basis. 1 6 1 P = 1 -6 C-B 29 (Simplify your answer.) Write t? as a linear combination of the polynomials in B. 2=](1+51?) +[(-6+t-29²) +[k1 -6t) (Simplify your answers.)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...

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