Solving a linear set of unknown Vectors (1 Viewer)

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Hello,

I am trying to find a mathematical procedure for finding the solutions for a linear set of vector equations.

For example I have;

Ax + By = P (1)
Cx + Dy = Q (2)

Here, A,B,C,D,x and y are all Nx1 vectors. So I need to solve for two Nx1 vectors.
For a general linear equations like Ax=B -> x=A^-1.B, is there any standard procedure to solve for vectors of unknowns?

Thank you very much.
 

CompuChip

Science Advisor
Homework Helper
4,284
47
If A and x are column (?) vectors, then what is Ax? Is it the inner product?
Because in that case, you have two equations for 2N unknowns which will give you a heavily underdetermined system.
 

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top