assigned today:

Due today:

Due today:

- standard-linear vector spaces:
I can determine the rank of a matrix and whether vectors are linearly independent.

- Prove that any 3 non-zero 2d vectors are linearly dependent.
- Prove that the determinant of a system equations (not all of which equal zero) that has multiple solutions is zero.
- 7.7.20 (a) and (b).

- We decided to do the quiz at the end
- whiteboard activity: a matrix that brings all vectors to zero
- discussion about the possibilities

- whiteboard: 3x3 matrix with non-obvious zero determinant
- discussed connections among:
- linear dependence
- all zero rows
- zero determinants

- took a look at the 6 problems
- realized that the figure 158 one could be tough in other dimensions
- suggested might give a drawing and ask for a matrix
- talked about 2 of the most recent 3 (but no time for the last one).