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Stop wasting time solving long quadratic equations with det(A - λI) = 0! Use the 3-Second Trace & Determinant Rule for any 2x2 ...

What does an eigenvalue actually mean? Forget the determinant for a moment. Take a vector and apply a matrix. Most directions ...

Most vectors get turned when a matrix transforms them. But a few special directions don't. They only get stretched or compressed: ...