# Thread: solving linear equations which all equal to 0 using matrices

1. ## solving linear equations which all equal to 0 using matrices

Hi,

ok I have a system of matrices whereby:

Cx=0

C is a (7 x 7) matrix of coefficients and x is a (7 x 1) vector of non-zero unknowns. I know all the coefficients in the (7 x 7) coefficient matrix. I need to find the terms in x. has anyone any ideas?

Thanks
Danny

2. Use Gaussian elimination, to solve the system.

Gaussian elimination - Wikipedia, the free encyclopedia

3. ## hmmmm

are you sure the gaussian elimination method will work even though the linear equations all equal 0 because in the end one still ends up with for example 6a = *0* and so all the values = 0 which is untrue. Or am i talking crap .

Thanks for your time

4. if the determinant of the coefficient matrix C is not zero or conversely if it's invertible, than the trivial solution x = 0is the only solution. But if it's not invertible which means that some of the equations are linearly dependent than you'll get an infinite amount of solutions other than 0....