Chapter 01. Matrices, Vectors, and Vector Calculus
Problem 04. Transposed and Inverse Matrix
The problem asks you to
prove the properties of transposed and inverse matrix.
You should know about
1) Transposed matrix 2) Inverse matrix
(a) Let , then By definition of transpose, Therefore,
(b) i) For orthogonal matrices, , so we can use the result of (a). ii) For non-orthogonal matrices (i.e. In general), Therefore,