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

A=[a_{1} a_{2} a_{3} ........a_{n}] (1 by n matrix)

B=[b_{1} b_{2} b_{3}.........b_{n}]^{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.

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

Quote:

Originally Posted by

**daspankaz** A=[a_{1} a_{2} a_{3} ........a_{n}] (1 by n matrix)

B=[b_{1} b_{2} b_{3}.........b_{n}]^{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: $\displaystyle A=[2~3]~\&~B=[x~y]$ then $\displaystyle A\cdot B^T=[2x+3y]$.

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