I have a 4x4 matrices A and B.
Matrix C is AxB.
Is there anyway I can find A again if I know C and B?
I know you can't divide C by B to get A, but I've read that you can multiply by an inverse. However, from what I've read, sometimes an inverse to a matrix does not exist. Is there anything I can do to undo my AxB multiplication?
Matrix C is AxB.
Is there anyway I can find A again if I know C and B?
I know you can't divide C by B to get A, but I've read that you can multiply by an inverse. However, from what I've read, sometimes an inverse to a matrix does not exist. Is there anything I can do to undo my AxB multiplication?
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C = AB
If B is invertible then you can right multiply both sides by B^(-1) (the inverse of B) to find A.
CB^(-1) = ABB^(-1)
A = CB^(-1)
If B is not invertible then you are out of luck.
Here's a similar problem using real numbers.
c = ab
Suppose you know c and b are zero. There's no way to figure out what a was.
If B is invertible then you can right multiply both sides by B^(-1) (the inverse of B) to find A.
CB^(-1) = ABB^(-1)
A = CB^(-1)
If B is not invertible then you are out of luck.
Here's a similar problem using real numbers.
c = ab
Suppose you know c and b are zero. There's no way to figure out what a was.