%path = "maths/vectors/transformation" %kind = kinda["problems"] %level = 11 In the following we change from one coordinate system to another, where the representation of the vector is known. Find the representation int the original CS. (i.e. \(\vec{x}=\begin{pmatrix}x_1\\x_2\end{pmatrix}\) ) \[ \begin {pmatrix} {{norm(g.m[0][0])}} & {{norm(g.m[0][1])}} \\ {{norm(g.m[1][0])}} & {{norm(g.m[1][1])}} \end {pmatrix} \begin{pmatrix}x_1\\x_2\end{pmatrix} = \begin{pmatrix}{{g.v[0]}}\\{{g.v[1]}}\end{pmatrix} \] %include('chcko/getorshow',names=[r'\(x_1=\)',r'\(x_1=\)'])