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(Solved): Find the standard matrix for the linear transformation \( T \). \[ \left[\begin{array}{c} T(x, y)= ...



Find the standard matrix for the linear transformation \( T \).
\[
\left[\begin{array}{c}
T(x, y)=(x+2 y, 3 x-4 y) \\
{[\quad

Find the standard matrix for the linear transformation \( T \). \[ \left[\begin{array}{c} T(x, y)=(x+2 y, 3 x-4 y) \\ {[\quad \Rightarrow} \\ \Downarrow \end{array}\right. \]


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According to the question, Consider the linear transformation, T(x,y)=(
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