7 (10) Let $A, B \in M_{n \times n}(\mathbb{R})$. If $B$ is invertible, then show that there exist a scalar $\lambda \in \mathbb{C}$ and a nonzero vector $x \in \mathbb{C}^n$ such that $Ax = \lambda Bx$.
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7 (10) Let $A, B \in M_{n \times n}(\mathbb{R})$. If $B$ is invertible, then show that there exist a scalar $\lambda \in \mathbb{C}$ and a nonzero vector $x \in \mathbb{C}^n$ such that $Ax = \lambda Bx$.