Chapter 5 Linear Transformations and Operators
Linear Transformations and Operators 5.1 The Algebra of Linear Transformations Theorem 5.1.1. Let V and Wbe vector spaces over the field F. Let Tand Ube two linear transformations from Vinto W. The function (T+U) defined pointwise by (T+ U)(v) = Tv+ Uv is a linear transformation from Vinto W. Furthermore, if s2F, the function (sT) defined by ...
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