![Matrix Invertibility With F[x]-Modules @MuPrimeMath](https://i.ytimg.com/vi/xnZ2d6y8JmA/maxresdefault.jpg)
Uploaded September 2021 | Updated September 2026, 1 week ago
Characteristic polynomial explanation: youtu.be/jCt6mR3QtPk
Ring & Module Theory playlist: youtube.com/playlist?list=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
Characteristic polynomial explanation: youtu.be/jCt6mR3QtPk
Ring & Module Theory playlist: youtube.com/playlist?list=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
![Matrix Invertibility With F[x]-Modules](https://i.ytimg.com/vi/xnZ2d6y8JmA/mqdefault.jpg "Matrix Invertibility With F[x]-Modules
Characteristic polynomial explanation: https://youtu.be/jCt6mR3QtPk
Ring & Module Theory playlist: https://youtube.com/playlist?list=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")
