Category:Orthogonal Transformations

This category contains results about Orthogonal Transformations.
Definitions specific to this category can be found in Definitions/Orthogonal Transformations.

Let $\mathbf A$ and $\mathbf B$ be square matrices over $\R$.

An orthogonal transformation is an operation of changing $\mathbf B$ to $\mathbf A$ by multiplying $\mathbf B$ by an orthogonal matrix $\mathbf Y$ and its inverse $\mathbf Y^{-1}$ such that:

$\mathbf A = \mathbf Y^{-1} \mathbf B \mathbf Y$