The Learning Point‎ > ‎Mathematics‎ > ‎

Our Linear Algebra Tutorials: at a glanceLinear Algebra - Matrices Part I - A Tutorial with ExamplesLinear Algerba - Matrices Part II - Tutorial with Problems and SolutionsLinear Algebra - Determinants - A Tutorial with Problems and SolutionsLinear Algebra - Simultaneous Equations in Multiple Variables Basic Concepts In Linear Algebra and Vector Spaces - A Tutorial with Examples and Solved ProblemsLinear Algebra - Introductory Problems Related to Vector SpacesLinear Algebra - More about Vector SpacesLinear Algebra - Linear Transformations, Operators and MapsLinear Algebra - Eigenvalues, Eigenvector,Cayley Hamilton TheoremLinear Algebra - Problems on Simultaneous Equations, EigenvectorsLinear Algebra - A few closing problems in Recurrence Relations                                                                                                                                                           ------------xxxx------------

 Problems demonstrating the concepts introduced in the previous tutorial. Checking or proving something to be a sub-space, demonstrating that something is not a sub-space of something else, verifying linear independence; problems relating to dimension and basis; inverting matrices and echelon matrices.

Here are the kind of problems which have been solved in this tutorial :

• Identifying if a set of vectors is linearly dependent.
• Let V be a vector space of all functions from R into R and let E be the subset of even functions and let O be the subset of all odd functions. Prove that O and E are subspaces of V.
• Showing that a given vector space is (or is not) a subspace of R3
• Let V be the real vector space of all functions following sets of functions are subspace of f from R into R .Check whether given functions are a subspace of V.
• Finding the dimension and basic of all points lying on a given straight line.
• Showing that given vectors form a basis over R3