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6. Suppose T: R² → R³ and S : R³ → R² are each defined by one of the matrices [2 0 1 0 2 A = and B 1 -1 2 1 3 3 • Which matrix makes sense for defining T? • Which matrix makes sense for defining S? • Find the matrix that defines SoT, and then compute ST(v) for v = whichever actually makes sense. 問。 or v=

6. Suppose T: R² → R³ and S : R³ → R² are each defined by one of the matrices [2 0 1 0 2 A = and B 1 -1 2 1 3 3 • Which matrix makes sense for defining T? • Which matrix makes sense for defining S? • Find the matrix that defines SoT, and then compute ST(v) for v = whichever actually makes sense. 問。 or v=

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 79E: Let A,D, and P be nn matrices satisfying AP=PD. Assume that P is nonsingular and solve this for A....
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Linear Alegbra and Differential Equations

6. Suppose T: R² → R³ and S : R³ → R² are each defined by one of the matrices [2 0 1 0 2 A = and B 1 -1 2 1 3 3 • Which matrix makes sense for defining T? • Which matrix makes sense for defining S? • Find the matrix that defines SoT, and then compute ST(v) for v = whichever actually makes sense. 問。 or v=
Transcribed Image Text:6. Suppose T: R² → R³ and S : R³ → R² are each defined by one of the matrices [2 0 1 0 2 A = and B 1 -1 2 1 3 3 • Which matrix makes sense for defining T? • Which matrix makes sense for defining S? • Find the matrix that defines SoT, and then compute ST(v) for v = whichever actually makes sense. 問。 or v=
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