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선형 대수

기호 벡터와 기호 행렬에 대한 선형 대수 연산

선형 대수는 선형 방정식과 그 속성에 대한 연구입니다. Symbolic Math Toolbox™는 선형 연립방정식을 풀 수 있는 함수를 제공합니다. Symbolic Math Toolbox 함수를 사용하여 행렬을 분석하고 변환하고 분해할 수도 있습니다.

함수

모두 확장

행렬 연산

catConcatenate symbolic arrays along specified dimension
colonCreate symbolic vectors, array subscripting, and for-loop iterators
horzcatConcatenate symbolic arrays horizontally
sortSort elements of symbolic vectors or matrices
vertcatConcatenate symbolic arrays vertically

행렬 변환

diagCreate diagonal matrix or get diagonals from symbolic matrices
reshapeReshape symbolic array
trilReturn lower triangular part of symbolic matrix
triuReturn upper triangular part of symbolic matrix

선형 방정식 풀기

adjointClassical adjoint (adjugate) of square matrix
condCondition number of matrix
detDeterminant of symbolic matrix
equationsToMatrixConvert linear equations to matrix form
invInverse of symbolic matrix
linsolve행렬 형식의 선형 방정식 풀기
norm행렬 또는 벡터의 노름
pinvMoore-Penrose inverse (pseudoinverse) of symbolic matrix
rankFind rank of symbolic matrix
rrefReduced row echelon form of matrix (Gauss-Jordan elimination)

행렬 기저

colspaceBasis for column space of matrix
nullForm basis for null space of matrix
orthOrthonormal basis for range of symbolic matrix

행렬 분해

cholCholesky factorization
luLU factorization
qrQR factorization
svdSingular value decomposition of symbolic matrix
charpolyCharacteristic polynomial of matrix
eigEigenvalues and eigenvectors of symbolic matrix
jordanJordan normal form (Jordan canonical form)
curlCurl of vector field
divergenceDivergence of vector field
gradientGradient vector of scalar function
hessianHessian matrix of scalar function
jacobian야코비 행렬(Jacobian Matrix)
laplacianLaplacian of scalar function
potentialPotential of vector field
vectorPotentialVector potential of vector field

표준형

hermiteFormHermite form of matrix
jordanJordan normal form (Jordan canonical form)
smithFormSmith form of matrix

특수 행렬

bernsteinMatrixBernstein matrix
toeplitzSymbolic Toeplitz matrix
expmMatrix exponential
funmGeneral matrix function
logmMatrix logarithm
sqrtmMatrix square root

도움말 항목

Symbolic Matrix Computation

This example shows how to perform simple matrix computations using Symbolic Math Toolbox™.

Linear Algebraic Operations

Linear algebra with symbolic expressions and functions.

선형 연립방정식 풀기

행렬 또는 방정식 형식으로 선형 연립방정식 풀기.

Basic Algebraic Operations

Perform algebraic operations on symbolic expressions and function.

Linear Algebraic Operations

Linear algebra with symbolic expressions and functions.

Singular Value Decomposition

Singular value decomposition (SVD) of a matrix.

Eigenvalues

Find eigenvalues, characteristic polynomials, and determinants of matrices.

Jordan Canonical Form

Convert matrix to Jordan normal form (Jordan canonical form).

Eigenvalues of the Laplace Operator

This example shows how to solve the eigenvalue problem of the Laplace operator on an L-shaped region.

Hilbert Matrices and Their Inverses

This example shows how to compute the inverse of a Hilbert matrix using Symbolic Math Toolbox™.

추천 예제