Orthonormal matrices: essentially the most elegant matrices in all of linear algebra
That is the eighth chapter of the in-progress e book on linear algebra: “A birds eye view of linear algebra”. The desk of contents to date:
On this chapter, we are going to cowl particular sorts of matrices: orthogonal and orthonormal. These sorts of matrices (and the corresponding linear maps they characterize) have good properties, from theoretical to numerical that make them simple to work with. As an illustration, to get the inverse of an orthonormal matrix, you’ll be able to merely flip it (take its transpose). However we’re getting forward of ourselves. Let’s perceive what it even means for a matrix to be orthonormal.
