Standards: Chapter 5

I can compute the determinant of 2x2 and 3x3 matrices using the
definition or the shortcut method.

I understand how elementary row operations change the determinant. 

I can compute the determinant of an nxn matrix using row reduction.  

I know how to use the determinant to test whether a matrix is
invertible.  

I know how the determinant of a product of matrices relates to the
determinant of each factor, how the determinant of A and A^{-1} are
related, and shortcuts for computing the determinant of upper (or
lower) triangular block matrices (cf. Thm. 5.16).

I can compute the determinant of an nxn matrix using cofactor
expansion.