Understanding Linear Algebra

$RGB$ color model Paragraph

$Y{C}_b{C}_r$ color model Paragraph

augmented matrix Paragraph

back substitution Observation

basic variable Item

basis Definition

basis, standard Example

characteristic equation Paragraph

characteristic polynomial Paragraph

chrominance Paragraph

coefficient matrix Paragraph

coefficient of determination Definition

column space Definition

consistent system Item

decoupled system Observation

determinant Definition

diagonalizable Definition

dimension Definition

discrete dynamical system Paragraph

Discrete Fourier Transform Paragraph

dot product Paragraph

eigenspace Paragraph

eigenvalue Definition

eigenvalue, dominant Paragraph

eigenvector Definition

free variable Item

Gaussian elimination Paragraph

Gram matrix Paragraph

Gram-Schmidt Paragraph

inconsistent system Item

invertible Definition

linear combination Definition

linear equation Definition

linear system Definition

linearly dependent Definition

linearly independent Definition

lower triangular matrix Definition

luminance Paragraph

Markov chain Paragraph

matrix transformation Definition

matrix, addition Paragraph

matrix, elementary Paragraph

matrix, identity Item

matrix, inverse Definition

matrix, rank Definition

matrix, scalar multiplication Paragraph

matrix, shape Paragraph

matrix, square Paragraph

matrix-vector multiplication Definition

Moore-Penrose psuedoinverse Paragraph

multiplicity Paragraph

normal equation Paragraph

null space Definition

orthogonal Definition

orthogonal complement Definition

orthogonal diagonalization Definition

orthogonal matrix Definition

orthogonal projection Definition

orthogonal set Definition

othonormal set Definition

parametric description Item

partial pivoting Paragraph

pivot position Definition

positive matrix Definition

power method Example

principal components Paragraph

probability vector Definition

quadratic form Definition

R squared Definition

rank Definition

reduced row echelon form Definition

reduced row echelon matrix Definition

round off error Paragraph

row equivalent Paragraph

row space Paragraph

scalar multiplication Item

similarity Definition

solution Definition

solution space Definition

span Definition

state vector Paragraph

stationary vector Definition

steady-state vector Definition

stochastic matrix Definition

subspace Definition

symmetric matrix Definition

transition function Paragraph

transpose Definition

triangular system Observation

unit vector Item

upper triangular matrix Definition

vector Paragraph

vector addition Item

weights Definition