1. Properties of Matrices
   1. triangular matrix
   2. skew symmetric matrix
      1. A^T = -A
   3. Matrix rank
      1. vector space
         1. Formed by a collection of vectors that may be added together or multiplied
      2. # of independent rows or columns in the matrix
   4. symmetric matrix
      1. x^(-1) = x^T
   5. Row Echelon Form
      1. all non-zero rows are above any rows of all zeroes
      2. If the leading coefficient of a row is always to the right of the row above it
2. Eigen Values
   1. Measures the stability of something
   2. Eigen vectors
   3. Similarity Transforms
   4. Diagonalization
   5. Spectrum
      1. set of all eigen values of A
   6. Spectral radius
      1. largest of the eigen values
3. Arithmatic
   1. transpose
   2. Matrix multiplication
   3. Matrix subtraction
   4. Matrix addition
4. Gauss
   1. Gauss Elimination method
   2. Gauss - Jordan Method
5. Determinants
   1. scale factors
   2. Cramer's rule
   3. Inversion
6. Dot product
   1. How Orthogonal it is
   2. If mag(A) = 1, it's a unit vector
   3. Length of a vector
      1. sqrt(a*a)