Let T : P3 → R2×2 be defined by cx²)= T(a + bx + cx b 2a] = 2c b and let B be the basis for P3 and ◇ the basis for R2×2: B = (1, x, x²) [01] and D = " Find a matrix A so that for all pЄ P3. [T(p)]₁ = A[p]
Let T : P3 → R2×2 be defined by cx²)= T(a + bx + cx b 2a] = 2c b and let B be the basis for P3 and ◇ the basis for R2×2: B = (1, x, x²) [01] and D = " Find a matrix A so that for all pЄ P3. [T(p)]₁ = A[p]
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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![Let T : P3 → R²×2 be defined by
b 2a
T(a + bx + cx²)
=
2c b
and let be the basis for P3 and > the basis for R2×2:
B = (1, x, x²) and
D =
Find a matrix A so that
[T(p)] = A[p]
for all pЄ P3.
"
"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4217e83c-b4b2-47da-9d7a-2d6031448fca%2Fd2f59bd9-e56b-4597-979d-0fe30b394092%2Fljpqhjn_processed.png&w=3840&q=75)
Transcribed Image Text:Let T : P3 → R²×2 be defined by
b 2a
T(a + bx + cx²)
=
2c b
and let be the basis for P3 and > the basis for R2×2:
B = (1, x, x²) and
D =
Find a matrix A so that
[T(p)] = A[p]
for all pЄ P3.
"
"
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