Linear Algebra Free Download

Cliffs Quick Review course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and approach your exams with newfound confidence. Cliffs Quick Review Linear Algebra demystifies the topic with straightforward explanations of the fundamentals. This comprehensive guide begins with a close look at vector algebra (including position vectors, the cross product, and the triangle inequality) and matrix algebra (including square matrices, matrix addition, and identity matrices). Once you have those subjects nailed down, you′ll be ready to take on topics such as Linear systems, including Gaussian elimination and elementary row operations Real Euclidean vector spaces, including the null space of a matrix, projection into a subspace, and the Rank Plus Nullity Theorem The determinant, including definitions, methods, and Cramer’s Rule Linear transformations, including basis vectors, standard matrix, kernal and range, and composition Eigenvalues and Eigenvectors, including definitions and illustrations, Eigen spaces, and diagonalization Cliffs Quick Review Linear Algebra acts as a supplement to your textbook and to classroom lectures.