Suppose that T is a linear transformation from R2 to the space of 2 × 2 matrices which satisfies: T((1, 1)) = [} 1 3 T((3,-2)) = What is T(2,4)? HINT: Note that - 2 (2,4) = 10(1,1) - (3,-2)

Elementary Linear Algebra (MindTap Course List)
8th Edition
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Author:Ron Larson
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Chapter6: Linear Transformations
Section6.4: Transistion Matrices And Similarity
Problem 29E
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Suppose that T is a linear transformation from R2 to the space of 2 × 2 matrices which
satisfies:
T((1, 1))
=
[}
1 3
T((3,-2)) =
What is T(2,4)?
HINT: Note that
-
2
(2,4) = 10(1,1) - (3,-2)
Transcribed Image Text:Suppose that T is a linear transformation from R2 to the space of 2 × 2 matrices which satisfies: T((1, 1)) = [} 1 3 T((3,-2)) = What is T(2,4)? HINT: Note that - 2 (2,4) = 10(1,1) - (3,-2)
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