n-dimensional curve fitting

I have a series of 'n' linear equation of 'm' variables, where n > m. with best curve fitting or any other techniques how will i calculate/get 'm' coffiecients of the variables?

[ashwin]

For example aX1+bY1=W1 aX2+bY2=W2 aX3+bY3=W3 this is a system of linear equations of 2 varaiables 'a'&'b' with given 3 equations.

Answer 1

[Matt J]

If your system of linear equations is A*x=b, you can solve as x=A\b

[ashwin]

i have already said its a system of 'm' variables, not only one (x)

[Matt J]

My answer does apply in n dimensions (A is an n x m matrix, b is an nx1 vector). Try it.