3. Let T: P3 → M2x2 be the linear transformation defined by a+d b. с b + c a d T(a + bx + cx² + da³ ) = Let A = {1, 2r, 1+x², 1-x+2x³} and B = 1 0 1 1 00 {[38] [33] [28] [31]} 00 00 20 0 " ]. be bases for P3 and M2x2, respectively. Compute [T]BA.
3. Let T: P3 → M2x2 be the linear transformation defined by a+d b. с b + c a d T(a + bx + cx² + da³ ) = Let A = {1, 2r, 1+x², 1-x+2x³} and B = 1 0 1 1 00 {[38] [33] [28] [31]} 00 00 20 0 " ]. be bases for P3 and M2x2, respectively. Compute [T]BA.
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. Let T: P3 →→ M2x2 be the linear transformation defined by
b.
T(a + bx + cx² + dr³) = [
- [8+da-d]·
b c
].
Let A = {1, 2x, 1+x², 1-x+ 2x³} and
B =
1 0
1 1
00
{[%][3][8][]}
00
20
0 0
с
be bases for P3 and M2x2, respectively. Compute [T]BA.
1}]}
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb04829d0-4645-426e-bf1a-7ada40b0786f%2F0d34e5bf-9950-4698-a28e-d7f81926c715%2Ftsiuefr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Let T: P3 →→ M2x2 be the linear transformation defined by
b.
T(a + bx + cx² + dr³) = [
- [8+da-d]·
b c
].
Let A = {1, 2x, 1+x², 1-x+ 2x³} and
B =
1 0
1 1
00
{[%][3][8][]}
00
20
0 0
с
be bases for P3 and M2x2, respectively. Compute [T]BA.
1}]}
0
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