Class 4
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Further examples and properties of linear transformations:
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examples: differentiation; integration; evaluation; and
projection linear operators
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elementary properties: 0 maps to 0; linear combinations are preserved;
characterization of L.T. using L(ax+y)=aL(x)+L(y), for all a in F and
all x,y in V.
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preliminary discussion of:
the vector space of all L.T.s from V to W, notation L(V,W) and
composition of L.T.s