Suppose T: M2,2→→P2 is a linear transformation whose action on a basis for M2,2 is as follows: [1]- 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. = -2x+5 = 0 =-x+4 T -2-2 -4-2 = 2x²+4x-26 T 02 = -2x²+2x+10
Suppose T: M2,2→→P2 is a linear transformation whose action on a basis for M2,2 is as follows: [1]- 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. = -2x+5 = 0 =-x+4 T -2-2 -4-2 = 2x²+4x-26 T 02 = -2x²+2x+10
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 16CR
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![Suppose T: M2,2→→P2 is a linear transformation whose action on a basis for M2,2 is as follows:
[18]--
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.
= -2x+5 T
= 0
1
1
-2 -2
= -x+4 T
-4 -2
= 2x² +4x-26 T
00
= -2x²+2x+10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55c993a9-4c06-4d44-aa78-44f7261f24ef%2Ff77bd962-9c6e-411e-9986-150d8dcce3d1%2Fpxfa1jo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose T: M2,2→→P2 is a linear transformation whose action on a basis for M2,2 is as follows:
[18]--
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.
= -2x+5 T
= 0
1
1
-2 -2
= -x+4 T
-4 -2
= 2x² +4x-26 T
00
= -2x²+2x+10
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