What to cover for the vector and matrix?

Zill and Cullen :
## vector
* [x] Vector on 2D space
* [x] Vector on 3D space
* [x] Inner product
* [x] Vector product
* [x] Line and Plane on 3D space
* [ ] Vector space
* [ ] Orthonormalization
## matrix
* [x] Matrix arithmetics
* [x] System of Linear Equations
* [ ] Rank of a matrix
* [ ] Determinant
* [ ] Inverse
* [ ] Cramer's rule
* [x] Eigenvalue problem
* [ ] Power of a matrix
* [ ] Orthogonal matrix
* [ ] Approximations of eigenvalues
* [ ] Diagonalization
* [ ] Encoding
* [ ] Error correction code
* [ ] Minimization