By Gilbert Strang

Gilbert Strang's textbooks have replaced the whole method of studying linear algebra -- clear of summary vector areas to precise examples of the 4 basic subspaces: the column house and nullspace of A and A'.

This new 5th variation has develop into greater than a textbook for the elemental linear algebra direction. that's its first objective and consistently should be. the hot chapters approximately purposes of the SVD, chance and data, and important part research in finance and genetics, make it additionally a textbook for a moment direction, plus a source at paintings. Linear algebra has develop into imperative in smooth utilized arithmetic. This ebook helps the price of figuring out linear algebra.

Introduction to Linear Algebra, 5th Edition contains problem difficulties to enrich the evaluation difficulties which were hugely praised in earlier versions. the fundamental direction is through 8 purposes: differential equations in engineering, graphs and networks, records, Fourier tools and the FFT, linear programming, special effects, cryptography, primary part research, and singular values.

Audience: millions of lecturers in faculties and universities and now excessive faculties are utilizing this ebook, which really explains this important topic. this article is for readers in every single place, with aid from the internet sites and video lectures. each bankruptcy starts off with a precis for effective review.

Contents: Chap. 1: advent to Vectors; Chap. 2: fixing Linear Equations; Chap. three: Vector areas and Subspaces; Chap. four: Orthogonality; Chap. five: Determinants; Chap. 6: Eigenvalues and Eigenvectors; Chap. 7: Singular worth Decomposition; Chap. eight: Linear alterations; Chap. nine: complicated Vectors and Matrices; Chap. 10: functions; Chap. eleven: Numerical Linear Algebra; Chap. 12: Linear Algebra in chance and records; Matrix Factorizations; Index; Six nice Theorems.

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