Matrix Invertibility With F[x]-Modules

Characteristic polynomial explanation: • How the Matrix Charact...
Ring & Module Theory playlist: • Ring & Module Theory
In this video, we use F[x]-modules to prove that a matrix is invertible if and only if its determinant is nonzero. Another example of how F[x]-modules can be applied to a ton of things in linear algebra!
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Music: OcularNebula - The Lopez

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