# Math Help - Preserving Volume

1. ## Preserving Volume

My Analysis class just stuck us with a lot of Linear Algebra, and I haven't had formal teaching in Linear Algebra yet and was wondering if you guys could head me in the right direction for this problem.

Find a linear transformation $h: R^{n}\rightarrow R^{n}$ that preserves volumes but is not an isometry.

2. Actually I think I have one, simple if I did this right.

The matrix $\left(\begin{array}{cc}K&0\\0&\frac{1}{K}\end{arra y}\right)$