Symbol Definition
$A$ M Matrix
$\matrixentry{A}{ij}$ M Matrix Entries
$\vect{v}$ CV Column Vector
$\vectorentry{\vect{v}}{i}$ CV Column Vector Entries
$\zerovector$ ZCV Zero Column Vector
$\linearsystem{A}{\vect{b}}$ MRLS Matrix Representation of a Linear System
$\augmented{A}{\vect{b}}$ AM Augmented Matrix
$\rowopswap{i}{j}$ RO Row Operation, Swap
$\rowopmult{\alpha}{i}$ RO Row Operation, Multiply
$\rowopadd{\alpha}{i}{j}$ RO Row Operation, Add
$r$, $D$, $F$ RREF Reduced Row-Echelon Form Analysis
$\nsp{A}$ NSM Null Space of a Matrix
$I_m$ IM Identity Matrix
$\complex{m}$ VSCV Vector Space of Column Vectors
$\vect{u}=\vect{v}$ CVE Column Vector Equality
$\vect{u}+\vect{v}$ CVA Column Vector Addition
$\alpha\vect{u}$ CVSM Column Vector Scalar Multiplication
$\spn{S}$ SSCV Span of a Set of Vectors
$\conjugate{\vect{u}}$ CCCV Complex Conjugate of a Column Vector
$\innerproduct{\vect{u}}{\vect{v}}$ IP Inner Product
$\norm{\vect{v}}$ NV Norm of a Vector
$\vect{e}_i$ SUV Standard Unit Vectors
$M_{mn}$ VSM Vector Space of Matrices
$A=B$ ME Matrix Equality
$A+B$ MA Matrix Addition
$\alpha A$ MSM Matrix Scalar Multiplication
$\zeromatrix$ ZM Zero Matrix
$\transpose{A}$ TM Transpose of a Matrix
$\conjugate{A}$ CCM Complex Conjugate of a Matrix
$\adjoint{A}$ A Adjoint
$A\vect{u}$ MVP Matrix-Vector Product
$AB$ MM Matrix Multiplication
$\inverse{A}$ MI Matrix Inverse
$\csp{A}$ CSM Column Space of a Matrix
$\rsp{A}$ RSM Row Space of a Matrix
$\lns{A}$ LNS Left Null Space
$\dimension{V}$ D Dimension
$\nullity{A}$ NOM Nullity of a Matrix
$\rank{A}$ ROM Rank of a Matrix
$\elemswap{i}{j}$ ELEM Elementary Matrix, Swap
$\elemmult{\alpha}{i}$ ELEM Elementary Matrix, Multiply
$\elemadd{\alpha}{i}{j}$ ELEM Elementary Matrix, Add
$\submatrix{A}{i}{j}$ SM SubMatrix
$\detbars{A}$ DM Determinant of a Matrix, Bars
$\detname{A}$ DM Determinant of a Matrix, Functional
$\algmult{A}{\lambda}$ AME Algebraic Multiplicity of an Eigenvalue
$\geomult{A}{\lambda}$ GME Geometric Multiplicity of an Eigenvalue
$\ltdefn{T}{U}{V}$ LT Linear Transformation
$\krn{T}$ KLT Kernel of a Linear Transformation
$\rng{T}$ RLT Range of a Linear Transformation
$\rank{T}$ ROLT Rank of a Linear Transformation
$\nullity{T}$ NOLT Nullity of a Linear Transformation
$\vectrep{B}{\vect{w}}$ VR Vector Representation
$\matrixrep{T}{B}{C}$ MR Matrix Representation
$\alpha=\beta$ CNE Complex Number Equality
$\alpha+\beta$ CNA Complex Number Addition
$\alpha\beta$ CNM Complex Number Multiplication
$\conjugate{\alpha}$ CCN Conjugate of a Complex Number
$x\in S$ SET Set Membership
$S\subseteq T$ SSET Subset
$\emptyset$ ES Empty Set
$S=T$ SE Set Equality
$\card{S}$ C Cardinality
$S\cup T$ SU Set Union
$S\cap T$ SI Set Intersection
$\setcomplement{S}$ SC Set Complement