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