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Year 11 Specialist (Unit 1 & 2) Transformations of the plane

Linear transformations

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Questions
Question 1
195719
A linear transformation is defined by the rule \((x,y)\to(2x+y,\ x-y)\), which is the matrix \(A=\begin{pmatrix}2 & 1
1 & -1\end{pmatrix}\). Find the image of the point \((3,-1)\).
\((5,4)\)

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