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Matrix representation of function composition
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[QUOTE="andrewkirk, post: 5469177, member: 265790"] I wouldn't write it like that, because ##[T_a]##is the matrix representation of the linear operator ##T_a##, rather than the linear transformation itself. The transformation is ##T_a\circ T_b##. So writing it the same way as that in which ##T_a## and ##T_b## were presented would be $$(T_a\circ T_b)\begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix}-x -y\\ 2x \end{bmatrix}$$ [/QUOTE]
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Matrix representation of function composition
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