Plan

• Finish Chapter 3
• Start motivating determinants
• Quiz

Chapter 3

• Do example from midterm. Both range and nullspace.

Determinants

• Determinant is a function whose magnitude is tells you about change in volume and whose sign tells you about change in orientation.
• Determiant as a function on the columns.
• Determinant is the unique n-linear alternating function whose value on the identity is 1.
• identity is reasonable.
• n-linear is reasonable.
• alternating is reasonable.
• if alternating then the switching.