## AppendixNLNotation

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