Linear Algebra

adjoint, or adj(A), is the transpose of the cofactor matrix of A.

Crame's Rule:
- solves AX = B
- xi = det(Ai) / det(A), where Ai is replacing the i-th column with B.

vs. Gaussian Elimination
- Crame's Rule requires computing (n+1) determinants
- computing each determinant requires as much work as solution using G.E.

Jacobian is the det(M'), where M' is the partial derivative matrix of M containing F(f1,....,fn).


Vector:
- v dot product,
- projection, +, -, norm
- span of vector(s)