# Understanding Linear Algebra

## IndexIndex

$$RGB$$ color model
$$YC_bC_r$$ color model
augmented matrix
back substitution
basic variable, Item
basis
basis, standard
characteristic equation
characteristic polynomial
chrominance
coefficient matrix
coefficient of determination
column space
consistent system, Item
decoupled system
determinant
diagonalizable
dimension
discrete dynamical system
Discrete Fourier Transform
dot product
eigenspace
eigenvalue
eigenvalue, dominant
eigenvector
free variable, Item
Gaussian elimination
Gram matrix
Gram-Schmidt
inconsistent system, Item
invertible
linear combination
linear equation
linear system
linearly dependent
linearly independent
lower triangular matrix
luminance
Markov chain
matrix transformation
matrix, elementary
matrix, identity, Item
matrix, inverse
matrix, rank
matrix, scalar multiplication
matrix, shape
matrix, square
matrix-vector multiplication
Moore-Penrose psuedoinverse
multiplicity
normal equation
null space
orthogonal
orthogonal complement
orthogonal diagonalization
orthogonal matrix
orthogonal projection
orthogonal set
othonormal set
parametric description, Item
partial pivoting
pivot position
positive matrix
power method
principal components
probability vector
R squared
rank
reduced row echelon form
reduced row echelon matrix
round off error
row equivalent
row space
scalar multiplication, Item
similarity
solution
solution space
span
state vector
stationary vector
stochastic matrix
subspace
symmetric matrix
transition function
transpose
triangular system
unit vector, Item
upper triangular matrix
vector