Linear Algebra II Spectral Theory and Abstract Vector Spaces
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740302417
Table of contents: title: Sisältö; title: Spectral Theory; title: Eigenvalues; title: Some Applications Of Eigenvalues And Eigenvectors; title: Exercises; title: Schur’s Theorem; title: Trace And Determinant; title: Quadratic Forms; title: Second Derivative Test; title: The Estimation Of Eigenvalues; title: Advanced Theorems; title: Exercises; title: Vector Spaces And Fields; title: Vector Space Axioms; title: Subspaces And Bases; title: Lots Of Fields; title: Exercises; title: Linear Transformations; title: Matrix Multiplication As A Linear Transformation; title: L(V,W) As A Vector Space; title: The Matrix Of A Linear Transformation; title: Eigenvalues And Eigenvectors Of Linear Transformations; title: Exercises; title: Linear Transformations Canonical Forms; title: A Theorem Of Sylvester, Direct Sums; title: Direct Sums, Block Diagonal Matrices; title: Cyclic Sets; title: Nilpotent Transformations; title: The Jordan Canonical Form; title: Exercises; title: The Rational Canonical Form; title: Uniqueness; title: Exercises; title: Markov Chains And Migration Processes; title: Regular Markov Matrices; title: Migration Matrices; title: Markov Chains; title: Exercises; title: Inner Product Spaces; title: General Theory 181; title: The Gram Schmidt Process; title: Riesz Representation Theorem; title: The Tensor Product Of Two Vectors; title: Least Squares; title: Fredholm Alternative Again; title: Exercises; title: The Determinant And Volume; title: Exercises