Mathematics, 08.04.2020 00:47 lestessanders02
Let T: ℝm → ℝn and S: ℝn → ℝp be linear transformations. Then S ∘ T: ℝm → ℝp is a linear transformation. Moreover, their standard matrices are related by[S ∘ T] = [S][T].Verify the theorem above by finding the matrix of S ∘ T by direct substitution and by matrix multiplication of [S][T].Tx1x2 = x2−x1, Sy1y2 = y1 + 5y23y1 + y2y1 − y2
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Let T: ℝm → ℝn and S: ℝn → ℝp be linear transformations. Then S ∘ T: ℝm → ℝp is a linear transformat...
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