[3 0 Consider the ordered bases B = (2) and 4 C = -2 0 41] [4 04]) for the vector space V of lower triangular 2 × 2 matrices with zero trace. [1 0 Го от a. Find the transition matrix from C to B. Hint: use F = TB b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C 3 is [M]c = [ ³¹₁] · [M]B= c. Find M. M = 9.

[3 0 Consider the ordered bases B = (2) and 4 C = -2 0 41] [4 04]) for the vector space V of lower triangular 2 × 2 matrices with zero trace. [1 0 Го от a. Find the transition matrix from C to B. Hint: use F = TB b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C 3 is [M]c = [ ³¹₁] · [M]B= c. Find M. M = 9.

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 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...

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