[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 69E: Find a basis for R2 that includes the vector (2,2).
Related questions
Question
![[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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5f3a7f3-10c4-4869-906a-40675d8d17a6%2Fbf82fd33-f376-4175-869b-bf6ff19f1651%2F6u4x6ll_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[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.
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