Suppose T: M2 2→R4 is a linear transformation whose action on a basis for M2 2 is as follows: 4 -8- 4 -1 0 1 T 1 1 -2 -2 T -2 -2 -3 -1 T 1 -2 | T %D %D %D -4 6 |1 0 0 - 1 2 1 -2 -3 -3 Describe the action of T on a general matrix, using a, b, c, and d as constants. a b T c d

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose T: M2 2→R4 is a linear transformation whose action on a basis for M2 2 is as
follows:
4
-8-
4
-1
0 1
T
1 1
-2 -2
T
-2 -2
-3
-1
T
1
-2
|
T
%D
%D
%D
-4
6
|1 0
0 - 1
2
1
-2
-3
-3
Describe the action of T on a general matrix, using a, b, c, and d as constants.
a b
T
c d
Transcribed Image Text:Suppose T: M2 2→R4 is a linear transformation whose action on a basis for M2 2 is as follows: 4 -8- 4 -1 0 1 T 1 1 -2 -2 T -2 -2 -3 -1 T 1 -2 | T %D %D %D -4 6 |1 0 0 - 1 2 1 -2 -3 -3 Describe the action of T on a general matrix, using a, b, c, and d as constants. a b T c d
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