Originally Posted by

**thepartymushroom** hello,

i have a problem. if i know that

$\displaystyle

\textnormal{det}(a \mathbf{M} + \mathbf{K}) = 0

$

$\displaystyle

\textnormal{det}(b \mathbf{M} + \mathbf{K}) = 0

$

where $\displaystyle a$ and $\displaystyle b$ are scalars and $\displaystyle \mathbf{M}$ and $\displaystyle \mathbf{K}$ are matrices,

does this mean that $\displaystyle a = b$?

also, $\displaystyle \mathbf{M}$ is diagonal, if that helps.

cheers for reading and sorry if this is a dumb question,

jack.