A rigorous first course in linear algebra.The ideas introduced previously for 2- and 3-dimensional space are developed and extended in a more general setting.Definitions and examples of fields and vector spaces.Subspaces,spanning sets,linear independence,bases,dimension,direct sums.Linear mappings,kernel and image.Matrices and matrix algebra.Determinants,Echelon form.Eigenvectors and diagonalization.Orthogonal diagonalization of a real symmetric matrix.I encourage you to make informal use of Maple,which is available on the College Teaching Network,to help you with this course,either to check your coursework solutions or to guide you towards a solution, but you must submit conventional written solutions on paper to all assessed coursework.(It is much faster to write mathematics by hand than to use a computer!)Note that you will not have access to a computer for the test or exam.These theoretical ideas have many applications, which will be discussed in the module.These include: 1.Solutions of simultaneous linear equations.2.Properties of vectors.3.Properties of matrices,such as rank, row reduction,eigenvalues and eigenvectors.
|Author||Prof. Magid Maatallah|
|Number of Pages||444|
|Country of Manufacture||India|
|Product Brand||Not defined|
|Product Packaging Info||Box|
|In The Box||1 Piece|
|Product First Available On ClickOnCare.com||2015-03-08 00:00:00|