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Elementary linear algebra.
~
Hill, David R. (1943-)
Elementary linear algebra.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
512.5
書名/作者:
Elementary linear algebra./ Bernard Kolman, David R. Hill
作者:
Kolman, Bernard
其他作者:
Hill, David R.
出版者:
Upper Saddle River, N.J. : Prentice Hall, 2000
面頁冊數:
568 p. : ill. ; 25 cm.
標題:
Algebras, Linear.
標題:
Algèbre linéaire.
標題:
Lineare Algebra.
ISBN:
9780130856906 (pbk.)
ISBN:
0130856908 (pbk.)
書目註:
Includes bibliographical indexes.
Elementary linear algebra.
Kolman, Bernard
Elementary linear algebra.
Bernard Kolman, David R. Hill - 7th ed. - Upper Saddle River, N.J. Prentice Hall2000 - 568 p. ill. 25 cm.
Includes bibliographical indexes.
Linear Equations and Matrices1
ISBN: 9780130856906 (pbk.)NTDSubjects--Topical Terms:
196729
Algebras, Linear.
Dewey Class. No.: 512.5
Elementary linear algebra.
LDR
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Elementary linear algebra.
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Bernard Kolman, David R. Hill
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Upper Saddle River, N.J.
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Prentice Hall
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568 p.
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25 cm.
504
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Includes bibliographical indexes.
505
0 0
$g
1
$t
Linear Equations and Matrices
$g
1 --
$g
1.1
$t
Systems of Linear Equations
$g
1 --
$g
1.2
$t
Matrices; Matrix Operations
$g
8 --
$g
1.3
$t
Algebraic Properties of Matrix Operations
$g
20 --
$g
1.4
$t
Special Types of Matrices and Partitioned Matrices
$g
29 --
$g
1.5
$t
Echelon Form of a Matrix
$g
40 --
$g
1.6
$t
Elementary Matrices; Finding A[superscript -1]
$g
60 --
$g
1.7
$t
Equivalent Matrices
$g
69 --
$g
1.8
$t
LU-Factorization (Optional)
$g
73 --
$g
2
$t
Real Vector Spaces
$g
84 --
$g
2.1
$t
Vectors in the Plane and in 3-Space
$g
84 --
$g
2.2
$t
Vector Spaces
$g
96 --
$g
2.3
$t
Subspaces
$g
103 --
$g
2.4
$t
Span and Linear Independence
$g
114 --
$g
2.5
$t
Basis and Dimension
$g
125 --
$g
2.6
$t
Homogeneous Systems
$g
140 --
$g
2.7
$t
Coordinates and Isomorphisms
$g
148 --
$g
2.8
$t
Rank of a Matrix
$g
164 --
$g
3
$t
Inner Product Spaces
$g
182 --
$g
3.1
$t
Standard Inner Product on R[superscript 2] and R[superscript 3]
$g
182 --
$g
3.2
$t
Cross Product in R[superscript 3] (Optional)
$g
192 --
$g
3.3
$t
Inner Product Spaces
$g
199 --
$g
3.4
$t
Gram-Schmidt Process
$g
213 --
$g
3.5
$t
Orthogonal Complements
$g
226 --
$g
3.6
$t
Least Squares (Optional)
$g
243 --
$g
4
$t
Linear Transformations and Matrices
$g
253 --
$g
4.1
$t
Definition and Examples
$g
253 --
$g
4.2
$t
Kernel and Range of a Linear Transformation
$g
265 --
$g
4.3
$t
Matrix of a Linear Transformation
$g
281 --
$g
4.4
$t
Vector Space of Matrices and Vector Space of Linear Transformations (Optional)
$g
291 --
$g
4.5
$t
Similarity
$g
299 --
$g
4.6
$t
Computer Graphics (Optional)
$g
306 --
$g
5
$t
Determinants
$g
315 --
$g
5.1
$t
Definition
$g
315 --
$g
5.2
$t
Properties of Determinants
$g
320 --
$g
5.3
$t
Cofactor Expansion
$g
331 --
$g
5.4
$t
Inverse of a Matrix
$g
338 --
$g
5.5
$t
Other Applications of Determinants
$g
343 --
$g
5.6
$t
Determinants from a Computational Point of View
$g
349 --
$g
6
$t
Eigenvalues and Eigenvectors
$g
351 --
$g
6.1
$t
Eigenvalues and Eigenvectors
$g
351 --
$g
6.2
$t
Diagonalization and Similar Matrices
$g
365 --
$g
6.3
$t
Stable Age Distribution in a Population; Markov Processes (Optional)
$g
375 --
$g
6.4
$t
Diagonalization of Symmetric Matrices
$g
382 --
$g
6.5
$t
Spectral Decomposition and Singular Value Decomposition (Optional)
$g
395 --
$g
6.6
$t
Real Quadratic Forms
$g
405 --
$g
6.7
$t
Conic Sections
$g
415 --
$g
6.8
$t
Quadric Surfaces
$g
424 --
$g
7
$t
Differential Equations (Optional)
$g
436 --
$g
7.1
$t
Differential Equations
$g
436 --
$g
7.2
$t
Dynamical Systems
$g
447 --
$g
8
$t
Matlab for Linear Algebra
$g
457 --
$g
8.1
$t
Input and Output in MATLAB
$g
458 --
$g
8.2
$t
Matrix Operations in MATLAB
$g
462 --
$g
8.3
$t
Matrix Powers and Some Special Matrices
$g
465 --
$g
8.4
$t
Elementary Row Operations in MATLAB
$g
468 --
$g
8.5
$t
Matrix Inverses in MATLAB
$g
478 --
$g
8.6
$t
Vectors in MATLAB
$g
479 --
$g
8.7
$t
Applications of Linear Combinations in MATLAB
$g
481 --
$g
8.8
$t
Linear Transformations in MATLAB
$g
485 --
$g
9
$t
MATLAB Exercises
$g
491 --
$g
Appendix A
$t
Preliminaries
$g
509 --
$g
A.1
$t
Sets
$g
509 --
$g
A.2
$t
Functions
$g
509 --
$g
Appendix B
$t
Complex Numbers
$g
513 --
$g
B.1
$t
Complex Numbers
$g
513 --
$g
B.2
$t
Complex Numbers in Linear Algebra
$g
522.
650
# 0
$a
Algebras, Linear.
$3
196729
650
# 6
$a
Algèbre linéaire.
$3
369924
650
0 7
$a
Lineare Algebra.
$2
swd.
$3
369925
700
1 #
$a
Hill, David R.
$q
(David Ross),
$d
1943-
$3
369923
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