- #1

- 23

- 0

## Main Question or Discussion Point

If you could offer any tips for studying for an Algebra test for tomorrow morning it would be great.

It covers:

Vectors:

Matrices:

No calculators are allowed and it goes for 20 minutes.

It covers:

Vectors:

- Vector quantities and [tex]$\mathbb{R^n}$[/tex]
- [tex]$\mathbb{R^2}$[/tex] and analytic geometry
- Points, line segments and lines. Parametric vector equations. Parallel lines.
- Planes. Linear combinations and the span of two vectors. Planes though the origin.
- Parametric vector equations for planes in [tex]$\mathbb{R^n}$[/tex]. The linear equation form of a plane.

Matrices:

- Introduction to systems of linear equations. Solution of 2 × 2 and 2 × 3 systems and geometrical interpretations.
- Matrix notation. Elementary row operations.
- Solving systems of equations via Gaussian elimination.
- Deducing solubility from row-echelon form. Solving systems with indeterminate right

hand side. - General properties of solutions to Ax = b.
- Matrix operations.

No calculators are allowed and it goes for 20 minutes.

Last edited: