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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=

Advanced Engineering Mathematics
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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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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