與線性代數(shù)相關(guān)的數(shù)學(xué)詞匯

A

adjont(adjugate)?of?matrix?A????????????A?的伴隨矩陣
augmented?matrix????????????????????????A?的增廣矩陣
?

B

block?diagonal?matrix???????????????????塊對(duì)角矩陣
block?matrix????????????????????????????塊矩陣
basic?solution?set??????????????????????基礎(chǔ)解系

C

Cauchy-Schwarz?inequality?????????????柯西-許瓦茲不等式
characteristic?equation???????????????特征方程
characteristic?polynomial?????????????特征多項(xiàng)式
coffcient?matrix??????????????????????系數(shù)矩陣
cofactor??????????????????????????????代數(shù)余子式
cofactor?expansion???????????????????代數(shù)余子式展開(kāi)
column?vector????????????????????????列向量
commuting?matrices???????????????????交換矩陣
consistent?linear?system?????????????相容線性方程組
Cramer’s?rule???????????????????????克萊姆法則
Cross-?product?term??????????????????交叉項(xiàng)

D

Determinant??????????????????????????????行列式
Diagonal?entries?????????????????????????對(duì)角元素
Diagonal?matrix??????????????????????????對(duì)角矩陣
Dimension?of?a?vector?space?V????????????向量空間V的維數(shù)

E

echelon?matrix???????????????????????????梯形矩陣
eigenspace???????????????????????????????特征空間
eigenvalue???????????????????????????????特征值
eigenvector??????????????????????????????特征向量
eigenvector?basis????????????????????????特征向量的基
elementary?matrix????????????????????????初等矩陣
elementary?row?operations????????????????行初等變換

F

full?rank????????????????????????????????滿秩
fundermental?set??of?solution????????????基礎(chǔ)解系

G

[center]
grneral?solution?????????????????????????通解
Gram-Schmidt?process?????????????????????施密特正交化過(guò)程

H

homogeneous?linear?equations?????????????齊次線性方程組

I

identity?matrix???????????????????????????單位矩陣
inconsistent?linear?system????????????????不相容線性方程組
indefinite?matrix??????????????????????????不定矩陣
indefinit?quatratic?form????????????????不定二次型
infinite-dimensional?space???????????????無(wú)限維空間
inner?product??????????????????????????????內(nèi)積
inverse?of?matrix?A???????????????????????逆矩陣

L

linear?combination????????????????????????線性組合
linearly?dependent????????????????????????線性相關(guān)
linearly?independent??????????????????????線性無(wú)關(guān)
linear?transformation?????????????????????線性變換
lower?triangular?matrix???????????????????下三角形矩陣

M

main?diagonal?of?matrix?A????????????????矩陣的主對(duì)角
matrix???????????????????????????????????矩陣

N

[center]
negative?definite?quaratic?form???????????負(fù)定二次型
negative?semidefinite?quadratic?form??????半負(fù)定二次型
nonhomogeneous?equations??????????????????非齊次線性方程組
nonsigular?matrix?????????????????????????非奇異矩陣
nontrivial?solution???????????????????????非平凡解
norm?of?vector?V??????????????????????????向量V的范數(shù)?
normalizing?vector?V??????????????????????規(guī)范化向量

O

orthogonal?basis???????????????????????????正交基
orthogonal?complement??????????????????????正交補(bǔ)
orthogonal?decomposition???????????????????正交分解
orthogonally?diagonalizable?matrix?????????矩陣的正交對(duì)角化
orthogonal?matrix?????????????????????????正交矩陣
orthogonal?set????????????????????????????正交向量組
orthonormal??basis????????????????????????規(guī)范正交基
orthonomal?set????????????????????????????規(guī)范正交向量組

[b]
partitioned?matrix????????????????????????分塊矩陣
positive?definite?matrix??????????????????正定矩陣
positive?definite?quatratic?form??????????正定二次型
positive?semidefinite?matrix??????????????半正定矩陣
positive?semidefinite?quadratic?form??????半正定二次型

Q

quatratic?form?????????????????????????????二次型

[center]R[/center]
rank?of?matrix?A????????????????????????矩陣A的秩?r(A)
reduced?echelon?matrix??????????????????最簡(jiǎn)梯形陣
row?vector??????????????????????????????行向量

S

set?spanned?by?{?}?????????????????????由向量{??}所生成
similar?matrices???????????????????????相似矩陣
similarity?transformation??????????????相似變換
singular?matrix????????????????????????奇異矩陣
solution?set???????????????????????????解集合
standard?basis?????????????????????????標(biāo)準(zhǔn)基
standard?matrix????????????????????????標(biāo)準(zhǔn)矩陣I
submatrix??????????????????????????????子矩陣
subspace???????????????????????????????子空間
symmetric?matrix???????????????????????對(duì)稱(chēng)矩陣

T

trace?of?matrix?A??????????????????????矩陣A?的跡?tr(A)
transpose?of?A?????????????????????????矩陣A的轉(zhuǎn)秩?
triangle?inequlity??????????????????????三角不等式
trivial?solution????????????????????????平凡解

U

unit?vector??????????????????????????單位向量
upper?triangular?matrix??????????????上三角形矩陣

V

vandermonde?matrix?????????????????范得蒙矩陣
vector?????????????????????????????向量
vector?space???????????????????????向量空間

Z

zero?subspace????????????????????????零子空間
zero?vector??????????????????????????零空間?（本文已被瀏覽?133?次）

posted on 2006-07-01 15:05 楊粼波 閱讀(848) 評(píng)論(0)  編輯 收藏 引用