# Orthogonal Basis Transformation Matrix [closed]

Assume that $V$ is a finite dimensional vector space over $\mathbb{R}$ with two bases $\alpha$ and $\beta$. What are the necessary and/or sufficient conditions for the basis transformation matrix from $\alpha$ to $\beta$ (transition matrix) to be orthogonal?

## closed as off-topic by Jack, Davide Giraudo, suomynonA, Behrouz Maleki, user91500Dec 14 '16 at 5:45

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Jack, Davide Giraudo, suomynonA, Behrouz Maleki, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.

• If $\alpha$ is an orthonormal basis, then it is necessary and sufficient that $\beta$ should also be orthonormal. – Omnomnomnom Dec 13 '16 at 20:45