------Plan
Finish determinants
Properties of determinants
More remarks about multilinearity of determinants
Determinant is alternating.
This gives the cofactor expansion formula for any row
Determinants don't change under transpose.
We can also use row reduction to compute determiants
determinant of inverse is inverse of determinant
Similiar matrices have the same determinant.
Eigenvalues
Is there a basis where the matrix is diagonal.
Define eigenstuff
Finding the eigenvalue using determinants
Charpoly