Vector operations and graphing in R3

Vectors in Rn and their eight algebraic properties

Defining linear combinations and converting linear systems to vector equations

Computing u + 2v with vectors in R3

Computing 2u minus v with vectors in R3

Computing 5u + 0v and observing the zero vector property

Rewriting a system of equations as a vector equation

Converting a vector equation back into a system of equations

Checking if vector B is a linear combination of A1 and A2

Checking if b is a linear combination of three vectors using row reduction

Showing B is not a linear combination due to an inconsistent system

Finding values of k for b to be in the span of two vectors