Glossary of linear algebra

• Vector space
• Subspace
• Linear combination
• Generating a vector space
• Linearly independent vectors
• Basis for a vector space
• Dimension of a vector space
• Normed vector space
• Inner product space
• Banach space
• Hilbert space
• Jordan Normal Form

Some important topics:

• Least squares
• Gauss elimination method
• Gram-Schmidt Process