Linear Combinations in Vector Space

• Ordered Sets of Vectors
• Linear Combinations
• Lines, Half-lines, Line Segments, and Rays
• Sets of Linear Combinations
• Elementary Operations on a Set of Vectors
• Representation of a Vector
• Linear Independence and Dependence
• Near Linear Independence
• Spanning Set for a Subspace
• Basis for a Subspace
• Orthogonal Basis for a Subspace
• Translation
• Flats