Consider the ordered bases B = zero trace. a. Find the transition matrix from C to B. Hint: use the standard basis F = TE = [M]B = b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = - [2²] c. Find M. M = {[ 9 ] [ 2])} and C= {[1 953)} {[9][9]} JE JU for the vector space V of lower triangular 2 x 2 matrices with

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Must solve the question completely. Don't solve partially. Skip it pls if u don't want to solve it completely. Must solve all three parts a, b and c. If u don't want to solve all three, skip it pls so that others can do it. 

Consider the ordered bases B =
zero trace.
a. Find the transition matrix from C to B. Hint: use the standard basis F =
TE
=
[M]B =
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c =
- [2]
c. Find M.
={[ ] [ ]} and C= {[943
{[9][9]}
M =
JE
JU
for the vector space V of lower triangular 2 x 2 matrices with
Transcribed Image Text:Consider the ordered bases B = zero trace. a. Find the transition matrix from C to B. Hint: use the standard basis F = TE = [M]B = b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = - [2] c. Find M. ={[ ] [ ]} and C= {[943 {[9][9]} M = JE JU for the vector space V of lower triangular 2 x 2 matrices with
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