Topic: Vectors and Linear Combinations

Ordered Tuples as Vectors in Rn

Negative Scalars and Opposite Vectors

Maintaining Exact Arithmetic While Solving Ax=b

Linear Combinations with Parameterized Coefficients

Linear Combinations as Weighted Sums

Forming a Matrix from a List of Vectors

Dimension Checks for Matrix-Vector Products

Detecting Inconsistent Systems from Row Reduction

Deriving the Coordinate Formula for a Linear Combination

Coordinate Notation and Vector Equality