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Suppose $V=\Bbb{R}^3$ and $W=\Bbb{R}^2$.

Let $f:V\to W$ such that $f(x,y,z)=(zx+z,3y)$.

Find matrix $A$ of $f$ with respect to the standard bases of $V$ and $W$?

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    @DavidMitra Then we would have $f\colon V \to V$ ... perhaps the answer should read "As $f$ isn't linear, it cannot be represented by a matrix."2012-04-22
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    @martini Yes. Comment deleted. What could $f$ be?2012-04-22

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