Topic: Vectors and Linear Combinations

Zero Vectors, Additive Inverses, and Cancellation

Writing Ax=b Solutions with Free Variables

Worked Ax=b Systems with a Unique Solution

Translating a System of Equations into Ax=b

Solving Homogeneous Systems Ax=0

Solving Ax=b by Augmented Row Reduction

Reading Scalar Equations from Ax=b

Proving the Row and Column Formulas for Ax Agree

Proving the Algebraic Laws of Rn

Proving Linearity of Matrix-Vector Multiplication