Inverse Matrix

matqkks

What use is the inverse matrix?
I would not use it to solve linear systems but there must be some concrete or real life applications where it is used.

HallsofIvy

There is a sort of "meta" mathematical statement that when you have an application that reduces to an equation like Ax= B, the matrix "A" involves "systemic" properties while the matrix "B" involves properties specific to the problem. It is not unusual to have an application in which you must solve many equations, Ax= B, in which A remains the same while B changes. In that case, it is most efficient to solve for the inverse of A once, then multiply that inverse by the various B matrices.

matqkks

Thanks for the quick response and good answer.