Lecture 21. Eigen Value and Eigen Vector.
- What a matrix do? It multiplies to a vector, and give out another vector. It is like a function.
- The eigenvectors are the vectors that went through the matrix but still remain the same direction. A*x parallel to x.
- Ax = λx, λ can be zero or negative. Ax = 0: Nullspace. X is the eigenvector, λ is the eigenvalue.
- If A is singular, then λ=0 is the eigenvalue.
- Ax=λx, Elimination doesn’t…