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# Let $\mathbf{A} = \begin{pmatrix}1 & 1 \\ -2 & 1 \end{pmatrix}$The

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Let $$\mathbf{A} = \begin{pmatrix}1 & 1 \\ -2 & 1 \end{pmatrix}$$
Then A maps a circle with center (1,1) and radius 2 pictured on the left below, to the output ellipse on the right:

What is the area of this ellipse?

Mar 4, 2019

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The area of the ellipse is the area of the original circle multiplied by the determinant of matrix A.

I'll leave you to do the number crunching.

Mar 4, 2019

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