Matrix Invertibility With F[x]-Modules

Characteristic polynomial explanation: /watch/kPtQ3Rm6tCj6Q Ring & Module Theory playlist: /playlist/PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7 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! Subscribe to see more new math videos! Music: OcularNebula - The Lopez

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