Video defining an orthogonal matrix as a square matrix C whose columns form an orthonormal set. Shows that C will be invertible and that multiplying C transpose by C will result in the identity matrix. The result that C transpose equals...

Video lesson about how orthogonal matrices preserve lengths and angles of vectors when multiplied. Preservation of lengths is shown by manipulating the length of the square of an orthogonal matrix times a vector and preservation of...

Video defining an orthogonal matrix as a square matrix C whose columns form an orthonormal set.

This is a video showing that orthogonal matrices preserve angles and lengths.