linear algebra - Given any two $n times n$ matrices $A$ and $B$ can we
always find $c neq 0$ and $Y neq 0$ such that $AY = cBY$ is true?
Given any two $n \times n$ matrices $A$ and $B$ can we always find a scalar $c \neq 0$ and $n \times 1$ vector $Y \neq 0$ such that $AY = cBY$ is true ?
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