Hardcover ISBN:  9781733146678 
Product Code:  STRANG/5 
List Price:  $87.50 
AMS Member Price:  $70.00 
Hardcover ISBN:  9781733146678 
Product Code:  STRANG/5 
List Price:  $87.50 
AMS Member Price:  $70.00 

Book DetailsThe Gilbert Strang SeriesVolume: 5; 2023; 430 ppMSC: Primary 15; Secondary 65; 68
The sixth edition of Gilbert Strang's bestselling textbook, Introduction to Linear Algebra, continues to combine serious purpose with a gentle touch, providing an accessible and comprehensive guide to the study of linear algebra. Two of the chapters — the first and the last — deserve special mention.
Chapter 1 emphasizes that matrixvector multiplication Ax produces a linear combination of the columns of \(A\). Those combinations fill the column space of \(A\), and the idea of linear independence is introduced by examples. The result is to see (for small matrices) the ideas of column rank and row rank and a valuable factorization \(A = CR\).
Later chapters (the heart of the book) develop five great factorizations of a matrix, and they are connected to the four fundamental subspaces that students can work with.
Chapter 10 (the closing chapter) — not reached in a first course but so valuable in modern applications — describes the key ideas of Deep Learning. The learning function (built from training data) is piecewise linear with matrix weights. For unseen data, those same weights give an accurate understanding — and every student knows the importance of these ideas.
New to the Sixth Edition:
 Two new chapters on applications of linear algebra to vital modern problems of optimization and learning from data.
 Expanded coverage of linear transformations and eigenvectors.
 Revised treatment of singular value decomposition with a focus on its applications in data analysis and machine learning.
 More examples and exercises, helping students to solidify their understanding of the material.
A publication of WellesleyCambridge Press. Distributed within the Americas by the American Mathematical Society.
ReadershipMany universities and colleges (and now high schools) use this textbook.

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The sixth edition of Gilbert Strang's bestselling textbook, Introduction to Linear Algebra, continues to combine serious purpose with a gentle touch, providing an accessible and comprehensive guide to the study of linear algebra. Two of the chapters — the first and the last — deserve special mention.
Chapter 1 emphasizes that matrixvector multiplication Ax produces a linear combination of the columns of \(A\). Those combinations fill the column space of \(A\), and the idea of linear independence is introduced by examples. The result is to see (for small matrices) the ideas of column rank and row rank and a valuable factorization \(A = CR\).
Later chapters (the heart of the book) develop five great factorizations of a matrix, and they are connected to the four fundamental subspaces that students can work with.
Chapter 10 (the closing chapter) — not reached in a first course but so valuable in modern applications — describes the key ideas of Deep Learning. The learning function (built from training data) is piecewise linear with matrix weights. For unseen data, those same weights give an accurate understanding — and every student knows the importance of these ideas.
New to the Sixth Edition:
 Two new chapters on applications of linear algebra to vital modern problems of optimization and learning from data.
 Expanded coverage of linear transformations and eigenvectors.
 Revised treatment of singular value decomposition with a focus on its applications in data analysis and machine learning.
 More examples and exercises, helping students to solidify their understanding of the material.
A publication of WellesleyCambridge Press. Distributed within the Americas by the American Mathematical Society.
Many universities and colleges (and now high schools) use this textbook.