Orthogonal
Consider 2 column matrices
Product
The product of
Orthogonal vectors
For a set of
Orthogonal matrix
For a square matrix
A matrix is orthogonal iff sum of the squared elements of any row or column
is
Properties
is invertible, non-singular- It is diagonalizable over
(may not be, over ) - Product of 2 orthogonal matrices of the same order is also an orthogonal matrix
- The columns or rows of an orthogonal matrix form an orthogonal set of vectors