Linear Algebra (Featured Titles for Linear Algebra (Advanced))

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9780130084514: Linear Algebra (Featured Titles for Linear Algebra (Advanced))

For courses in Advanced Linear Algebra. This top-selling, theorem-proof text presents a careful treatment of the principle topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate. - NEW - Added section on the singular value decomposition. - Discusses the pseudoinverse of a matrix or a linear transformation between finite-dimensional inner product spaces. - NEW - Revised proofs, added examples and exercises. - Improves the clarity of the text and enhances students understanding of it. - Numerous accessible exercises - Enriches and extends the text material. - Offers students a chance to test their understanding by working interesting problems at a reasonable level of difficulty. - Real-world applications throughout. - Reveals to students the power of the subject by demonstrating its practical uses.

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This top-selling, theorem-proof book presents a careful treatment of the principle topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate. Chapter topics cover vector spaces, linear transformations and matrices, elementary matrix operations and systems of linear equations, determinants, diagonalization, inner product spaces, and canonical forms. For statisticians and engineers.

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