Ononot — A transformation T: \mathbb{R}^2 \to \mathbb{R}^2 is defined

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Transformationshard

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A transformation $T: \mathbb{R}^2 \to \mathbb{R}^2$ is defined by the matrix $A = \begin{pmatrix} 1 & k \\ 0 & 1 \end{pmatrix}$ . For what value of $k$ does this shear transformation map the line $y = x$ to the line $y = \frac{1}{2}x$ ?