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Precize Linear Algebra (PU)

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The book is strictly in accordance with the latest syllabus of the Panjab University, Chandigarh. The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for a better understanding of the subject. Well-planned and exhaustive exercises have been given in each chapter.

Description

Definition and Examples of Vector Spaces, Subspaces, Algebra of subspaces, Linear span, Linear dependence and independence of vectors, Basis and Dimension of a vector space, Basis and dimension of subspace, Direct sums and complements.

Linear Transformations, Rank and Nullity of a linear transformation, Vector space of linear transformations.

Linear transformation and matrices, Change of basis.

Characteristic roots and characteristic vectors, Algebraic and Geometric multiplicity of a characteristic value, Cayley‑Hamilton theorem, Diagonalizable operators and matrices. Minimal polynomial of a linear operator (matrix).

Additional information

ISBN

9789382295549

Language

English

Binding

Paperback

Year of Publication

2020

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