Linear Algebra Theorems & Definitions

Category
Course Notes
Parent item
Sub-category
Linear Algebra
Sub-item
Tags
MATH 235

Linear Transformations

Linear Maps as Matrices

Column space / Nullspace
If $y \in Col(A)$, $y = Ax$ for some $x \in F^n$

Orthogonal Diagonalization

Orthogonal and Unitary Matrices

Matrix is orthogonal if its columns are orthonormal
Or Matrix is orothogonal if QQ^T=I

Orthogonal and Unitary Diagonalization of Matrices

Orthogonal and Unitary are the same, but R for orthogonal and C for unitary
Similarly, Symmetric and Hermitian