



Lesson 5
Linear Algebra
SMR Domain 1.4
Prospective teachers should be able to demonstrate an understanding of vectors in two and three dimensions and make connections to geometry, trigonometry, matrices, and determinants. Teachers should be able to solve systems of linear equations using a variety of methods: Algebraic substitution, Linear combinations, using a matrix inverse, using elementary row operations and Cramer's Rule.
Before studying this domain, it would be beneficial to review geometry and basic trigonometry.
Please read carefully the following summary description of this topic. Don't worry if you don't yet understand it completely, or, if you have already studied this material, check your understanding with the practice problems at the end and move on to the next topic.