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Linear Algebra and Its Applications

Linear Algebra and Its Applications (4th Edition) by Gilbert Strang is one of the most respected and widely used textbooks on linear algebra in higher education globally.

Professor Strang’s signature teaching style emphasizes understanding concepts geometrically and computationally alongside formal proofs. Rather than treating linear algebra purely as abstract mathematics, this textbook connects core mathematical theories directly to real-world applications across engineering, computer science, physics, statistics, and economics.

Key topics covered in the 4th edition include:

Matrices and Gaussian Elimination: Systems of linear equations, vector operations, matrix multiplication, and LU decomposition.

Vector Spaces and Subspaces: Column spaces, nullspaces, independence, basis, dimension, and the four fundamental subspaces.

Orthogonality & Least Squares: Inner products, Gram-Schmidt orthogonalization, QR factorization, and linear regression/projections.

Determinants & Eigenvalues: Properties of determinants, characteristic equations, diagonalization, Markov matrices, and differential equations.

Positive Definite Matrices & SVD: Singular Value Decomposition (SVD), symmetric matrices, and quadratic forms.

Linear Transformations & Computations: Matrix representations, change of basis, and numerical linear algebra methods.

Ketersediaan

Informasi Detail

Judul Seri

-

No. Panggil

512.5 STR l c1

Penerbit

California : Cengage Learning., 2006

Deskripsi Fisik

viii, 488 p.; 24 cm x 19 cm; Illustrated

Bahasa

English

ISBN/ISSN

978-0-534-42200-4

Klasifikasi

512.5

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

4

Subjek

Aljabar Linear

Info Detail Spesifik

Renowned mathematician Gilbert Strang presents a fundamental, intuitive approach to linear algebra. The 4th edition covers vector spaces, matrix algebra, linear transformations, determinants, eigenvalues/eigenvectors, positive definite matrices, and practical applications in computation, engineering, and economics.

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