Suppose T: R¹→P3 is a linear transformation whose action on a basis for R4 is as follows: -3 0 ਏਕ ਦੇ 0 -3 4 T b Describe the action of T on a general vector, 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. C d () 1 =9x2-12x+6 T =-4x2+4x-4 T = −4x3-8x2+14x-14 T 2 0 = 0 = 2x³-6x²+5x-2
Suppose T: R¹→P3 is a linear transformation whose action on a basis for R4 is as follows: -3 0 ਏਕ ਦੇ 0 -3 4 T b Describe the action of T on a general vector, 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. C d () 1 =9x2-12x+6 T =-4x2+4x-4 T = −4x3-8x2+14x-14 T 2 0 = 0 = 2x³-6x²+5x-2
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: R¹→P3 is a linear transformation whose action on a basis for R4 is as follows:
-3
a
C
=
II
9x²-12x+6 T
0
0
Describe the action of T on a general vector, 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.
-4x²+4x-4 T
−4x³−8x²+14x−14 T
2x³-6x²+5x-2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb1e9de9-a728-40ac-94a8-c6bce5f72bed%2F75856756-0641-454a-9017-d24c75c50661%2Fk8dx23c_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose T: R¹→P3 is a linear transformation whose action on a basis for R4 is as follows:
-3
a
C
=
II
9x²-12x+6 T
0
0
Describe the action of T on a general vector, 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.
-4x²+4x-4 T
−4x³−8x²+14x−14 T
2x³-6x²+5x-2
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