- Thread starter
- #1

- Feb 5, 2012

- 1,621

I have a little trouble understanding what Canonical basis means in the following question. I thought that Canonical basis is just another word for the Standard basis. Hope you people could clarify the difference between these two in the given context.

**Question:**

Find the canonical basis for the orthogonal thransformation \(f:\Re^3\rightarrow \Re^3\) such that \(A_{f,\,B}=\frac{1}{3}\begin{pmatrix}2&-1&2\\2&2&-1\\-1&2&2\end{pmatrix}\), \(B\) being a standard basis of \(\Re^3\).