recap

Vectors

• ordered list of numbers

• Written in Columns

Operations on Vectors

1. Scaling/Scalar multiplication

   • Multiply each element by a number

   • Zero Vector? Is (0,0,0) a vector?

2. Addition

   • Add the corresponding elements

   • Must be same number of elements

   • Additive inverse of a number -1 * number

   -> Gives the center path between two vectors on a plane

Linear Equations

• Performing vector scaling and addition makes it so that every vector has a unique set of x and y such that y = s(mx) + s(c)

Linear Dependence

• If linearly dependent, s(x1) + s(x2) = 0 OR s1 = s2 = 0

• If impossible to get all vectors, then the equation is not linearly independent.

Spans & Vector Space