Example: Matrix Simplification

Thursday, 20 June 2019

4:50 PM

Untitled picture.png Machine generated alternative text:
Let A, B, C be invertible matrices of the same size. Suppose that
A is symmetric, i.e. A
B is skew-symmetric, i.e. BT
C is orthogonal, i.e. CT
—B ; and
Untitled picture.png Machine generated alternative text:
Note, in general, AB BA
The following properties are useful.
(AB) 1 = BAA-I, (AB)T = W AT, and (A-I)T

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