Lecture 61 | Matrix Addition & Scalar Multiplication for Transformations
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Lecture 61 | Matrix Addition & Scalar Multiplication for Transformations
In this lecture, we explore how addition and scalar multiplication of linear transformations are represented through ordinary matrix operations. Once a basis is fixed, each transformation T : V to W corresponds to a unique matrix M(T). We show that: M(T₁ + T₂) = M(T₁) + M(T₂) and M(lambda T) = lambda M(T) That means the set of all ...
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