Question
Find a linear transformation that maps the unit circle $x^2+y^2=1$ to the ellipse $\frac{1}{4} x^2+\frac{1}{9} y^2=1$. Is your answer unique?
Step 1
The unit circle is given by \(x^2 + y^2 = 1\). The ellipse is given by \(\frac{x^2}{4} + \frac{y^2}{9} = 1\). Show more…
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