# Thread: need help to find out the element of a Matrix from matrix multiplication equation.

1. ## need help to find out the element of a Matrix from matrix multiplication equation.

A=[a1 a2 a3 ........an] (1 by n matrix)
B=[b1 b2 b3.........bn]T (n by 1 matrix)

A.B=1 .........(1)

I know the elements of A matrix.

could any body help me to find out the element of B matrix?

P.S.: A and B are not the square matrix.

2. ## Re: need help to find out the element of a Matrix from matrix multiplication equation

Originally Posted by daspankaz
A=[a1 a2 a3 ........an] (1 by n matrix)
B=[b1 b2 b3.........bn]T (n by 1 matrix)
A.B=1 .........(1)
I know the elements of A matrix.
could any body help me to find out the element of B matrix?
This cannot be done.
Think about this: $A=[2~3]~\&~B=[x~y]$ then $A\cdot B^T=[2x+3y]$.

There are infinitely many solutions for $2x+3y=1$.