- #1

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As an example, let's work with a ##2 \times2## case:

##x = \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}## and ##y = \begin{bmatrix} y_1 \\ y_2 \end{bmatrix}##, then what transform ##T = \begin{bmatrix} t_{1,1} & t_{1,2} \\ t_{2,1} & t_{2,2} \end{bmatrix}## makes the equation ##Tx = y## true?