Suppose T: M2,2-P3 is a linear transformation whose action on a basis for M2,2 is as follows: 1(31)- 8x +11)- Describe the action of T on a general matrix, using x as the variable for the polynomial and a, b, c, and d as constants. Use the character to indicate an exponent, e.g. ax^2-bx+c. 01 = 8x³+6x²+10x T - 00 = 0 [20]- = 4x³+3x²+4x+1 T -8x³-8x²-2 = 6x³+4x²+13x-4
Suppose T: M2,2-P3 is a linear transformation whose action on a basis for M2,2 is as follows: 1(31)- 8x +11)- Describe the action of T on a general matrix, using x as the variable for the polynomial and a, b, c, and d as constants. Use the character to indicate an exponent, e.g. ax^2-bx+c. 01 = 8x³+6x²+10x T - 00 = 0 [20]- = 4x³+3x²+4x+1 T -8x³-8x²-2 = 6x³+4x²+13x-4
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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![Suppose T: M2,2→P3 is a linear transformation whose action on a basis for M₂,2 is as follows:
00
20
T
1 1
=
8x3+6x²+10x T
01
00
= 0
4x³+3x²+4x+1_T
11
-+(22)-
-8x3-8x²-2 T
6x³+4x²+13x-4
Describe the action of I on a general matrix, using x as the variable for the polynomial and a, b, c, and d as constants. Use the '^' character to indicate an exponent, e.g. ax^2-bx+c.
b
-{[4]-
c d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F373110e7-e385-4127-adf5-b0ae0e197db9%2F5fdbed62-3219-4d40-bd1f-ea97fe443a28%2F7egss2p_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose T: M2,2→P3 is a linear transformation whose action on a basis for M₂,2 is as follows:
00
20
T
1 1
=
8x3+6x²+10x T
01
00
= 0
4x³+3x²+4x+1_T
11
-+(22)-
-8x3-8x²-2 T
6x³+4x²+13x-4
Describe the action of I on a general matrix, using x as the variable for the polynomial and a, b, c, and d as constants. Use the '^' character to indicate an exponent, e.g. ax^2-bx+c.
b
-{[4]-
c d
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