Example of derivative of a such linear transformation
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Derivatives of functions as linear transformations of Rn→RmRn→Rm. Now talking about the derivative of such linear transformation , as we know if x∈Rnx∈Rn , then
A(x+h)−A(x)=A(h)A(x+h)−A(x)=A(h), because of linearity of AA, which implies that A′(x)=AA′(x)=A where , A′A′is derivative of AA
A(x+h)−A(x)=A(h)A(x+h)−A(x)=A(h), because of linearity of AA, which implies that A′(x)=AA′(x)=A where , A′A′is derivative of AA
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