S.O.S. Mathematics CyberBoard

I have got a problem like A*x=lambda*x
where A is of order d*d
x is of order d*c
lambda is a constant
A and lambda are known and matrix x is unknown.
Is there any function in matlab that solves this problem??
Solution needed urgently.
Thanks in advance for any kind of help

What do you mean order of a? You mean the size of the matrix?

You just have to solve and that is easy, since solving a homogeneous equation just amounts to putting the matrix into row-echelon form, so the answer is "yes, just tell Matlab to do ref (or rref) on .

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Topic moved to Matrix Algebra.

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Yeah..by order i meant size of the matrix given as no. of rows by no. of columns.
I am aware of the procedure of solving homogeneous system of equations in the case where x in the above post is a vector i.e of size k by 1
but in my problem it is of size c by d where c>1 and d>1...does your solution still hold??

Consider each column separately.

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That will lead to a different lambda or eigen value for each column when we do it column wise....I wish to get a single lambda for entire x as a whole

No, because you're solving the system for , which means if it satisfies that for each column, then it satisfies that for the whole matrix, so outermeasure's suggestion is exactly the right idea.

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