5. Let A = 2 0 3 -1 5 be the matrix of T : Pz → P; with respect to the basis 6 -2 B = {rn,. }, where r = 3r + 3r, =-1+3r +2, = 3+7z + 2. (a) Find (T(r,)la [T(v,)|m and [T(v)a- (b) Find T(), T(r2) and T(rs). (e) formula Tia
5. Let A = 2 0 3 -1 5 be the matrix of T : Pz → P; with respect to the basis 6 -2 B = {rn,. }, where r = 3r + 3r, =-1+3r +2, = 3+7z + 2. (a) Find (T(r,)la [T(v,)|m and [T(v)a- (b) Find T(), T(r2) and T(rs). (e) formula Tia
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![3 -1
5. Let A = 2 o
6 -2 4
be the matrix of T:P+ P with respect to the basis
B = {v1, t2, a}, where v = 3r + 3r?, v2 = -1+ 3r + 2x, s = 3+ 7z +2.
(a) Find (T(e,)]a. (T(,)|a and (T(v,)la-
(b) Find T(v1), T(r2) and T(es).
(e) Find a formula for T(ao + asr + agz).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7feb990f-06a2-4ec4-bb41-108a3cab7f1e%2Fda6a553a-74c8-4f96-adc9-3ce7746606f6%2F8gkbc4n_processed.png&w=3840&q=75)
Transcribed Image Text:3 -1
5. Let A = 2 o
6 -2 4
be the matrix of T:P+ P with respect to the basis
B = {v1, t2, a}, where v = 3r + 3r?, v2 = -1+ 3r + 2x, s = 3+ 7z +2.
(a) Find (T(e,)]a. (T(,)|a and (T(v,)la-
(b) Find T(v1), T(r2) and T(es).
(e) Find a formula for T(ao + asr + agz).
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