1. Let T and S be linear operators on R² given by J. T(x, y) = (y,x) and S(x, y)= (0, x). Then find formulas defining the following operators. a) T+S b) 3T + 2S c) TS d) ST e) T² f) S²

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Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
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Composition of Linear Mapping 

Let T and S be linear operators on R² given by
T(x, y) = (y,x) and S(x, y)= (0, x).
Then find formulas defining the following operators.
a) T+S b) 3T+2S c) TS d) ST e) T² f) S²
Transcribed Image Text:Let T and S be linear operators on R² given by T(x, y) = (y,x) and S(x, y)= (0, x). Then find formulas defining the following operators. a) T+S b) 3T+2S c) TS d) ST e) T² f) S²
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