Definitions
Section WILA
Section SSLE
Definition SLE System of Linear Equations
Definition ESYS Equivalent Systems
Definition EO Equation Operations
Section RREF
Definition M Matrix
Definition CV Column Vector
Definition ZCV Zero Column Vector
Definition CM Coefficient Matrix
Definition VOC Vector of Constants
Definition SOLV Solution Vector
Definition MRLS Matrix Representation of a Linear System
Definition AM Augmented Matrix
Definition RO Row Operations
Definition REM Row-Equivalent Matrices
Definition RREF Reduced Row-Echelon Form
Definition RR Row-Reducing
Section TSS
Definition CS Consistent System
Definition IDV Independent and Dependent Variables
Section HSE
Definition HS Homogeneous System
Definition TSHSE Trivial Solution to Homogeneous Systems of Equations
Definition NSM Null Space of a Matrix
Section NM
Definition SQM Square Matrix
Definition NM Nonsingular Matrix
Definition IM Identity Matrix
Section VO
Definition VSCV Vector Space of Column Vectors
Definition CVE Column Vector Equality
Definition CVA Column Vector Addition
Definition CVSM Column Vector Scalar Multiplication
Section LC
Definition LCCV Linear Combination of Column Vectors
Section SS
Definition SSCV Span of a Set of Column Vectors
Section LI
Definition RLDCV Relation of Linear Dependence for Column Vectors
Definition LICV Linear Independence of Column Vectors
Section LDS
Section O
Definition CCCV Complex Conjugate of a Column Vector
Definition IP Inner Product
Definition NV Norm of a Vector
Definition OV Orthogonal Vectors
Definition OSV Orthogonal Set of Vectors
Definition SUV Standard Unit Vectors
Definition ONS OrthoNormal Set
Section MO
Definition VSM Vector Space of m × n
Matrices
Definition ME Matrix Equality
Definition MA Matrix Addition
Definition MSM Matrix Scalar Multiplication
Definition ZM Zero Matrix
Definition TM Transpose of a Matrix
Definition SYM Symmetric Matrix
Definition CCM Complex Conjugate of a Matrix
Definition A Adjoint
Section MM
Definition MVP Matrix-Vector Product
Definition MM Matrix Multiplication
Definition HM Hermitian Matrix
Section MISLE
Definition MI Matrix Inverse
Section MINM
Definition UM Unitary Matrices
Section CRS
Definition CSM Column Space of a Matrix
Definition RSM Row Space of a Matrix
Section FS
Definition LNS Left Null Space
Definition EEF Extended Echelon Form
Section VS
Definition VS Vector Space
Section S
Definition S Subspace
Definition TS Trivial Subspaces
Definition LC Linear Combination
Definition SS Span of a Set
Section LISS
Definition RLD Relation of Linear Dependence
Definition LI Linear Independence
Definition TSVS To Span a Vector Space
Section B
Definition B Basis
Section D
Definition D Dimension
Definition NOM Nullity Of a Matrix
Definition ROM Rank Of a Matrix
Section PD
Definition DS Direct Sum
Section DM
Definition ELEM Elementary Matrices
Definition SM SubMatrix
Definition DM Determinant of a Matrix
Section PDM
Section EE
Definition EEM Eigenvalues and Eigenvectors of a Matrix
Definition CP Characteristic Polynomial
Definition EM Eigenspace of a Matrix
Definition AME Algebraic Multiplicity of an Eigenvalue
Definition GME Geometric Multiplicity of an Eigenvalue
Section PEE
Section SD
Definition SIM Similar Matrices
Definition DIM Diagonal Matrix
Definition DZM Diagonalizable Matrix
Section LT
Definition LT Linear Transformation
Definition PI Pre-Image
Definition LTA Linear Transformation Addition
Definition LTSM Linear Transformation Scalar Multiplication
Definition LTC Linear Transformation Composition
Section ILT
Definition ILT Injective Linear Transformation
Definition KLT Kernel of a Linear Transformation
Section SLT
Definition SLT Surjective Linear Transformation
Definition RLT Range of a Linear Transformation
Section IVLT
Definition IDLT Identity Linear Transformation
Definition IVLT Invertible Linear Transformations
Definition IVS Isomorphic Vector Spaces
Definition ROLT Rank Of a Linear Transformation
Definition NOLT Nullity Of a Linear Transformation
Section VR
Definition VR Vector Representation
Section MR
Definition MR Matrix Representation
Section CB
Definition EELT Eigenvalue and Eigenvector of a Linear Transformation
Definition CBM Change-of-Basis Matrix
Section OD
Definition UTM Upper Triangular Matrix
Definition LTM Lower Triangular Matrix
Definition NRML Normal Matrix
Section NLT
Definition NLT Nilpotent Linear Transformation
Definition JB Jordan Block
Section IS
Definition IS Invariant Subspace
Definition GEV Generalized Eigenvector
Definition GES Generalized Eigenspace
Definition LTR Linear Transformation Restriction
Definition IE Index of an Eigenvalue
Section JCF
Definition JCF Jordan Canonical Form
Section CNO
Definition CNE Complex Number Equality
Definition CNA Complex Number Addition
Definition CNM Complex Number Multiplication
Definition CCN Conjugate of a Complex Number
Definition MCN Modulus of a Complex Number
Section SET
Definition SET Set
Definition SSET Subset
Definition ES Empty Set
Definition SE Set Equality
Definition C Cardinality
Definition SU Set Union
Definition SI Set Intersection
Definition SC Set Complement
Section PT
Section F
Definition F Field
Definition IMP Integers Modulo a Prime
Section T
Definition T Trace
Section HP
Definition HP Hadamard Product
Definition HID Hadamard Identity
Definition HI Hadamard Inverse
Section VM
Definition VM Vandermonde Matrix
Section PSM
Definition PSM Positive Semi-Definite Matrix
Section ROD
Section TD
Section SVD
Definition SV Singular Values
Section SR
Definition SRM Square Root of a Matrix
Section POD
Section CF
Definition LSS Least Squares Solution
Section SAS