Systems of Equations and Matrix Inversion

We now move on to look for solutions of problems of the form

$$\bss{A}\bss{X} = \bss{B}$$ (3.9)

where $\bss{A}$ is an $M\times M$ matrix and $\bss{X}$ and $\bss{B}$ are $M\times N$ matrices. Matrix inversion is simply the special case where $\bss{B}$ is an $M\times M$ unit matrix.