线性代数重点词汇

线性代数----Linearalgebras

第一章行列式----Chapter1.

uuttiimliIdni

奇业列Cdd

permutation

行列式Determinant

行Row

列Column

中对角幺专1padinq

次,对角线Minor

diagonal!Principaldiagonal

二角行列式Trianaular

diagonal;Secondarydiagonal

余子式Cofactor

determinant

代和余孑式Alnohra

子式Minor

Cofactor

子行列式Minor

determinant^SubdeterminantiUnderdeterminant

第一_^意=F-凡拓陈干____ChlUanpitUplr42・对称矩阵Symmetric

后时忍Invar仑0、

PTMainx

方阵Square反对称矩阵Anti-symmeMc矩阵乘法

zu阡try因r天市次L1aefitl

零矩阵Null右乘Postmultiplication帚等矩阵Idempotent鬲零矩阵Nilpotent可逆

nvertible

T拓Lf曲lT的PV行/O专W!

mE奇涓的Ncnsiruiul2r3E音不矩阵Ncnaincular有舁的Sincul2r

对角阵Diagonal

奇异矩阵Singular

甲lit知I坤identity

iviuiuaify

三角矩阵Triangular

不可逆Irreversible

J-~W—

,JcczErrl!ivwbty

下三角矩阵

互逆矩阵Reciprocal

W

和m~Irr,an5PMuse,

矩阵的转置

l转苜定阵Transposed

matrix;Invertiblematrix

maMx

Orderofamatrix

1

1

Sementofmatrix

matrix

matrix

maitix_____________________________

Uppertrianqularmatrix

Lowertriangularmatrtx_____________________________

rransposeOTamatrix^

matrix

mainx

symmetric

rnairixf

Multiplicationofmatrices

multiplication

I

matrix

matrix

;Reversible

matrix

i.

1■

matrix

inverse

_______________

1

I=FH87EPTAdjoint

matrix

分块矩阵Partitioned

matrix

G/JkvbxwXud苗MJMAEMEmolO-CciKr

diagonalmatrix

子块Subblock

.

7f~*EPTSubmatrix

秩Rank

仃秩Row

列秩rank

■,一―.一C.—o—lu—m—n,■,——........,,—

酒欣l-uil16g

变次Transformrank

.,_____________________________________________

初等变换Elementary;Transformation

等价变换Equivalencetransformation

iransTorniaiion

----------------------------------------------J

-~~_~r;

第二早向里与线性方程组—Chapter3.Vectorandlinearequationsystem

消元法Elimination

r*—1*-*%/__•一一二t"^"~TT7I—j^人―——c-zit、？""Y"74*4*A*i1千Q

向审VectorF齐次inhomogeneous并齐夫线性万桂

行向量Row3人数矩阵Matrix

Tt1一^.ven/v・(

列向至Columnf曾广矩阵Augmented

零向量NullQ隹一解Unique

非零门量Nf_______________________________________________________________

非零向至Non-vanishing3gR解Null

线性相关Linear弓隹零解Untrivial

线纬…性无笑Linear!，自本解Fundamental

部分相关Part1在砥解系

木件秀21

线性表小Linear11?向至Solution

线性方程Linear

际才力任汨

非残性方程组

______________________________________________________________________

齐次Homogeneous

齐次线性方程

Systemofnonlinearequations

vector

Homogeneouslinearequation

vcctor

vector

Non-homogeneouslinearequation

vector.

nfnnftffiniRnts

dependence-

matrix

Linearlydependent;Linear

correlation

solution

independence;_______

Linearlyindependentsolution

correlationsolution

rz__;___________________________________________________________

_____________

expression;solution

Linearrepresentation1：-

equationvector

Systemoflineareauations

第四章向量空间----Chapter

'Vectorspace

空间Space

线性空间Linear

二维空间二

Mmensionalspace

s口p二acuTner

多维的Multidimensional

2

1

1

1-i一'一■”…"i'

度至至向Metric_____________________________________________________________________________

space

基Basis

基变换Change

ofbase

内积Inner

product;Interiorproduct;Dotproduct

向甲内积

Innerproductofvector

向量积Vectorproouci

单位向量Unit

vector

正交的Orthogonal―•一

正交向量Orthogonal

vectors

两两正交Pairwise

orthogonal

正交基Orthogonal

basis

标准正交基Normal

onhogonalbasis;Orthonormalbasis

正父化Orthogonalization

斯MU里威特陆i7tC父六14匕L迂法SCcMhm-i；d3tcs

jorthogonalization

EW丐特征向量二

Jxo…e叫2,2「

_________________________________=____________________________________

特征多项式Eigenpolynomial矩阵的对角化Diagonalization约当标准型

特征根Characteristic约当矩阵Jordan

特征值日genvalue----------------------------------------------------------------------------------------------------

特征向量Eigenvector弟八隼一X5f-unaptero.广次方坝nHomogeneous

迹

Trace二次齐次多项式

矩阵的迹Matrix

n次齐次多项式

多重特征值Multiple

一次型Quadratic

特征值的重数Multiplicity

实一次型

相似性Similarity

二次型的矩阵

相似矩阵Similar

线性变换Linear

相似变换Similarity

非奇异线性变换Nonsingular标;隹型Canonical

变次矩阵Transformation

逆变换Inverse配方法

-^^^^-erthogonal-

ofmatrix

joroancanontcsiform

root

matrix

,unafaciensitc

value

;Characteristic

Quadraticform

i/£CtQr

oolvnomial

；Spur

trace工SpurofmatrixQuadratichomogeneouspolynomial

HomoaeneousDolvnomialofdecreen

eigenvalues

ofeigenvalueform;Quadricform

Realquadraticform

♦l，l・l-1■7，・■II，，一，■，，，，，,一，，■，

matricesMatrixofaquadraticform

----------------------------------------------1

transformation

uanSiOnndiiOn,

Equiformtransformation；・

|li—ne_a__r_▲udtibci'oltnkiadr♦li:octci

matrix

form

transformation

Methodofcompletingthesquare

transformation

3

*

一定一次型iCuyin・nflruBtH?n「q■u■■crwiuirciHiicuflfurimm-------------------------------------------------------------------------------------------------------------------------------------------------------------■

正定的Positivedefinite

止ZETEPrrOSluveUt^llllllt^IIIcllIlA

正定二次型Positivedefinitequadraticform

Positivedefinitesymmetric

、

xL.亢<E乐-ATtW痴?AERrT中

matrix

半定二次型Semi-

rquugdUriridaUtiLc