Consider the ordered bases B= (3x-1, 1-4x) and C = (-(4+x).x-3) for the vector space P2[x]. a. Find the transition matrix from C to the standard ordered basis E = (1, x). TE= b. Find the transition matrix from B to E. T= c. Find the transition matrix from E to B. TE= d. Find the transition matrix from C to B. TB = e. Find the coordinates of p(x) = 3-x in the ordered basis B. [p(x)]B= f. Find the coordinates of g(x) in the ordered basis B if the coordinate vector of g(x) in C is (g(x)]C=(-2,2). [q(x)]B=

Consider the ordered bases B= (3x-1, 1-4x) and C = (-(4+x).x-3) for the vector space P2[x]. a. Find the transition matrix from C to the standard ordered basis E = (1, x). TE= b. Find the transition matrix from B to E. T= c. Find the transition matrix from E to B. TE= d. Find the transition matrix from C to B. TB = e. Find the coordinates of p(x) = 3-x in the ordered basis B. [p(x)]B= f. Find the coordinates of g(x) in the ordered basis B if the coordinate vector of g(x) in C is (g(x)]C=(-2,2). [q(x)]B=

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.4: Transistion Matrices And Similarity

Problem 15E

See similar textbooks