Solving equation with unknown symbolic vectors

Hi guys,

I want to solve the follwing equation:

A*X+B*U=0

where A is a square matrix with an order of 126

X is a vector of size 126

B is a matrix of size 126 . 32

and U is vector of size 32.

I have 126 equations. X and U are unknowns with some known entries. Can anyone propose me a method to solve for X and U?

[Walter Roberson]

"with some known entries"

Does the total number of known entries between X and U happen to be 32, so that the total number of unknowns is 126 matching the 126 equations?

[Fayas Ahamed]

Yes exactly..

[Fayas Ahamed]

Specifically there are 32 unknowns in X.

[Walter Roberson]

I wonder if that was a typing mistake? 32 unknowns in X, plus some number at most 32 unknowns in U, gives at most 64 unknowns, in a system of 126 variables.

If you had said 32 knowns, then that would give (126-32) unknowns for X, plus 32 unknowns for U, giving 126 unknows.

[Fayas Ahamed]

Sorry. Typing mistake. there are 32 knows in X.