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EBOOKCENTRAL_on1347023234 |
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20240329122006.0 |
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230209s2015 xx o ||| 0 eng d |
040 |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d OCLCO
|d OCLCQ
|d EBLCP
|d OCLCQ
|d OCLCL
|d OCLCQ
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020 |
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|a 9781118909621
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|a 1118909623
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|a (OCoLC)1347023234
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|a 512/.5
|q OCoLC
|2 23/eng/20231120
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049 |
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|a UAMI
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100 |
1 |
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|a Penney, Richard C.
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245 |
1 |
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|a Linear Algebra
|h [electronic resource] :
|b Ideas and Applications.
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260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2015.
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300 |
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|a 1 online resource (513 p.).
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490 |
1 |
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|a New York Academy of Sciences Ser.
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500 |
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|a Description based upon print version of record.
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|a Intro -- Linear Algebra -- Contents -- Preface -- Features of the Text -- Acknowledgments -- About the Companion Website -- Chapter 1 Systems of Linear Equations -- 1.1 The Vector Space of Matrices -- The Space Rn -- Linear Combinations and Linear Dependence -- What Is a Vector Space? -- Why Prove Anything? -- Exercises -- 1.1.1 Computer Projects -- Exercises -- 1.1.2 Applications to Graph Theory I -- Self-Study Questions -- Exercises -- 1.2 Systems -- Rank: The Maximum Number of Linearly Independent Equations -- Exercises -- 1.2.1 Computer Projects -- Exercises
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|a 1.2.2 Applications to Circuit Theory -- Self-Study Questions -- Exercises -- 1.3 Gaussian Elimination -- Spanning in Polynomial Spaces -- Computational Issues: Pivoting -- Exercises -- Computational Issues: Counting Flops -- 1.3.1 Computer Projects -- Exercises -- Applications to Traffic Flow -- Self-Study Questions -- Exercises -- 1.4 Column Space and Nullspace -- Subspaces -- Exercises -- Computer Projects -- Chapter Summary -- Chapter 2 Linear Independence and Dimension -- 2.1 The Test for Linear Independence -- Bases for the Column Space -- Testing Functions for Independence -- Exercises
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|a 2.1.1 Computer Projects -- Exercises -- 2.2 Dimension -- Exercises -- 2.2.1 Computer Projects -- Exercises -- 2.2.2 Applications to Differential Equations -- Exercises -- 2.3 Row Space and the rank-nullity theorem -- Bases for the Row Space -- Summary -- Computational Issues: Computing Rank -- Exercises -- 2.3.1 Computer Projects -- Exercises -- Chapter Summary -- Chapter 3 Linear Transformations -- 3.1 The Linearity Properties -- Exercises -- 3.1.1 Computer Projects -- Exercises -- 3.2 Matrix Multiplication (Composition) -- Partitioned Matrices -- Computational Issues: Parallel Computing
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|a Exercises -- 3.2.1 Computer Projects -- Exercises -- 3.2.2 Applications to Graph Theory II -- Self-Study Questions -- Exercises -- 3.3 Inverses -- Computational Issues: Reduction versus Inverses -- Exercises -- 3.3.1 Computer Projects -- Exercises -- 3.3.2 Applications to Economics -- Self-Study Questions -- Exercises -- 3.4 The LU Factorization -- Exercises -- 3.4.1 Computer Projects -- Exercises -- 3.5 The Matrix of a Linear Transformation -- Coordinates -- Application to Differential Equations -- Isomorphism -- Invertible Linear Transformations -- Exercises -- Computer Projects -- Exercises
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|a Chapter Summary -- Chapter 4 Determinants -- 4.1 Definition of the Determinant -- 4.1.1 The Rest of the Proofs -- Exercises -- 4.1.2 Computer Projects -- 4.2 Reduction and Determinants -- Uniqueness of the Determinant -- Exercises -- 4.2.1 Volume -- Exercises -- A Formula for Inverses -- Exercises -- Chapter Summary -- Chapter 5 Eigenvectors and Eigenvalues -- 5.1 Eigenvectors -- Exercises -- 5.1.1 Computer Projects -- Exercises -- 5.1.2 Application to Markov Processes -- Exercises -- 5.2 Diagonalization -- Powers of Matrices -- Exercises -- 5.2.1 Computer Projects -- Exercises
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500 |
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|a 5.2.2 Application to Systems of Differential Equations
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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655 |
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0 |
|a Electronic books.
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758 |
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|i has work:
|a Linear algebra (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGTxpjVCchtj9M4kch8vxP
|4 https://id.oclc.org/worldcat/ontology/hasWork
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776 |
0 |
8 |
|i Print version:
|a Penney, Richard C.
|t Linear Algebra
|d Newark : John Wiley & Sons, Incorporated,c2015
|z 9781118909584
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830 |
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0 |
|a New York Academy of Sciences Ser.
|
856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104213
|z Texto completo
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938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7104213
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994 |
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|a 92
|b IZTAP
|