Deriving the eigenvalue formula det(A-Iλ) from Av=λv | Question from student- A non-zero vector λ∈R

Deriving the eigenvalue formula det(A-Iλ) from Av=λv | Question from student- A non-zero vector v is an eigenvector for a square matrix A if for some λ∈R. Why is being an eigenvector equivalent to det⁡(A-λI)=0.

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