Find the matrix [T]B,B for T:P2 M22 where B= {1,x,x²}, B' =and T(a + bx + cx2) =Ca +c bb-aO 0 1O 1 01 10-1 0010 1a.b.O 100 1 0-1 0 0C. none of theseOd.1010 1 00 10102.10 170 -1 01 1-1 0 0.

Find the matrix [T]B.B for T:P2→M2x2 where B= (1,x,x2}, B' = 110 0 and T(a + bx+ cx2)=| a +c b -a 0 0 1 O 1 0 1 0 a. 1 100 b. 1 0 1 O 1 0 0 1 0 -1 00 C. none of these d.10 1 0 1 0 010 [10 2 0 1 0 -1 0 0 1 1 -1 0 0] e. r 1

Find the matrix [T]B.B for T:P2→M2x2 where B= (1,x,x2}, B' = 110 0 and T(a + bx+ cx2)=| a +c b -a 0 0 1 O 1 0 1 0 a. 1 100 b. 1 0 1 O 1 0 0 1 0 -1 00 C. none of these d.10 1 0 1 0 010 [10 2 0 1 0 -1 0 0 1 1 -1 0 0] e. r 1

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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Question

Find the matrix [T]B,B for T:P2 M22 where B= {1,x,x²}, B' =
and T(a + bx + cx2) =C
a +c b
b
-a
O 0 1
O 1 0
1 10
-1 00
10 1
a.
b.
O 10
0 1 0
-1 0 0
C. none of these
Od.
101
0 1 0
0 10
102.
10 17
0 -1 0
1 1
-1 0 0.

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