Consider the following bases B and B' for some subspace of M2x2(R), the vector spaceof all 2 by 2 matrices over R.n-{[: :] [:}] [::}- {[i '].0 03 41 01 13 13 03B =B' =2 332-8-6 -1(a) Find the coordinate matrix of Arelative to the basis B', that is[x(A)]g"-(b) Calculate the transition matrix Pg¬B- [Show steps.](c) Use part 2(b) to calculate the coordinate matrix of A relative to the basis B.(d) Verify the coordinate matrix obtained in part 2(c).

Note: We solve first three sub-parts only. Please re-submit the remaining parts, in case you'd like…

Consider the following bases B and B' for some subspace of M2x2 (R), the vector space of all 2 by 2 matrices over R. 10 3 3 B' = B-{[13]- [23] [21]}- - -{[82] [83] [24]} = 2 히 relative to the basis B', that is [ 2 (a) Find the coordinate matrix of A = [x(A)] Br. (b) Calculate the transition matrix PB'→B. [Show steps.] (c) Use part 2(b) to calculate the coordinate matrix of A relative to the basis B. (d) Verify the coordinate matrix obtained in part 2(c).

Consider the following bases B and B' for some subspace of M2x2 (R), the vector space of all 2 by 2 matrices over R. 10 3 3 B' = B-{[13]- [23] [21]}- - -{[82] [83] [24]} = 2 히 relative to the basis B', that is [ 2 (a) Find the coordinate matrix of A = [x(A)] Br. (b) Calculate the transition matrix PB'→B. [Show steps.] (c) Use part 2(b) to calculate the coordinate matrix of A relative to the basis B. (d) Verify the coordinate matrix obtained in part 2(c).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...

See similar textbooks