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Given transformation S: $$\begin{pmatrix} 3 & 2 \\ 4 & 2 \\ \end{pmatrix}$$

If a preimage triangle has an area of 10, what is the area of the image triangle?

Thinking we will be using the matrix area formula for triangles but not really sure how to solve?

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1 Answer

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Have you learnt about determinants yet?

In that case, the area of the triangle is simply $10\left\vert\det\begin{bmatrix}3&2\\4&2\end{bmatrix}\right\vert$.

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