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