Consider the linear system of equations

in matrix form:

This can be written in higher level form as

where denotes the two-by-two matrix above, and and denote the two-by-one vectors. The solution to this equation is then

The general two-by-two matrix inverse is given by

and the inverse exists whenever (which is called the

[How to cite this work] [Order a printed hardcopy] [Comment on this page via email]

Copyright ©

Center for Computer Research in Music and Acoustics (CCRMA), Stanford University