By Gilbert Strang

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

This new 5th version has turn into greater than a textbook for the fundamental linear algebra path. that's its first goal and constantly may be. the hot chapters approximately purposes of the SVD, likelihood and records, and critical part research in finance and genetics, make it additionally a textbook for a moment path, plus a source at paintings. Linear algebra has develop into significant in glossy utilized arithmetic. This publication helps the price of knowing linear algebra.

Introduction to Linear Algebra, 5th Edition contains problem difficulties to counterpoint the assessment difficulties which have been hugely praised in prior variants. the fundamental direction is by way of 8 purposes: differential equations in engineering, graphs and networks, data, Fourier equipment and the FFT, linear programming, special effects, cryptography, primary part research, and singular values.

Audience: hundreds of thousands of academics in schools and universities and now excessive colleges are utilizing this ebook, which really explains this important topic. this article is for readers all over, with aid from the internet sites and video lectures. each bankruptcy starts off with a precis for effective review.

Contents: Chap. 1: creation 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 price Decomposition; Chap. eight: Linear changes; Chap. nine: complicated Vectors and Matrices; Chap. 10: purposes; Chap. eleven: Numerical Linear Algebra; Chap. 12: Linear Algebra in chance and records; Matrix Factorizations; Index; Six nice Theorems.

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