(d) Find matrix M for T relative to B and C. (e) For m = find T (m) = T using the following process: (i) Find [m]g. That is, find (ii) Find [T (m), using matrix-vector multiplication (use parts (d) and [m]g. (Note, you are finding , which is quite the notational mouthful!) 1 2 using part (ii) (that is, use the definition of the coordinate 5 (iii) Find T mapping relative to the basis C). Note that you should compare this answer with part (a).
(d) Find matrix M for T relative to B and C. (e) For m = find T (m) = T using the following process: (i) Find [m]g. That is, find (ii) Find [T (m), using matrix-vector multiplication (use parts (d) and [m]g. (Note, you are finding , which is quite the notational mouthful!) 1 2 using part (ii) (that is, use the definition of the coordinate 5 (iii) Find T mapping relative to the basis C). Note that you should compare this answer with part (a).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
I only need part d, and part e
![(d) Find matrix M for T relative to B and C.
(e) For m =
, find T (m) = T
using the following process:
(i) Find [m]g. That is, find
(ii) Find T (m) using matrix-vector multiplication (use parts (d) and [m]g: (Note, you
are finding
,which is quite the notational mouthful!)
(iii) Find T
using part (ii) (that is, use the definition of the coordinate
mapping relative to the basis 6). Note that you should compare this answer with part
(a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb055c63f-89a3-4c28-8011-cd1d10eeedf8%2F8f96a34c-84c8-453b-80c5-8ee4a1df65fb%2Fx94rswf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(d) Find matrix M for T relative to B and C.
(e) For m =
, find T (m) = T
using the following process:
(i) Find [m]g. That is, find
(ii) Find T (m) using matrix-vector multiplication (use parts (d) and [m]g: (Note, you
are finding
,which is quite the notational mouthful!)
(iii) Find T
using part (ii) (that is, use the definition of the coordinate
mapping relative to the basis 6). Note that you should compare this answer with part
(a).
Transcribed Image Text:Consider the transformation T : Mx2 → P, defined by
T(:2) = (a + d) + cet + 2br?
for a, b, c, and d real numbers.
[o °
Let B =
and C = {1, t, 1²}.
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