Linear mappings - definition by the images of the coordinate unit vectors
It is sufficent to specify the images of the unit vectors. You can set the vectors \(\varphi(e_1)\) and
\(\varphi(e_2)\) by dragging them around.
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\(\varphi(\mathbf{v})= Av = v_1 \mathbf{a}_1+v_1 \mathbf{a}_1 = v_1 \varphi(e_1)+ v_2
\varphi(e_2)\)
Vector space \(V\)
Vector space \(W\)
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