We can extend the idea of row echelon format to make it easier to identify the solution to the system.…

Solving linear systems is a problem core to Linear Algebra. You will notice that so far we have already encountered…

The cross product is an operation that finds a third vector, , that is orthogonal to two vectors, and .…

One of the most useful applications of the dot product is the idea of a projection. A projection is an…

From what we have discussed so far, we’ve seen that vectors can be represented as a line traveling through the…

A linear combination is an expression that includes only the operations of addition and multiplication. In the case of vectors,…

Before we proceed to discuss the idea of subspaces, I’ll give some background on the idea of a set, as…

Vectors are commonplace in many areas of study, specifically physics. In math courses up to this point, you have likely…

Here is an index to access any Linear Algebra articles. 1.0 Vectors and Spaces 1.1: Vectors 1.2: Subspaces 1.3: Spanning…