The Learning Point‎ > ‎Mathematics‎ > ‎

##  Our Linear Algebra Tutorials: at a glanceLinear Algebra - Matrices Part I - A Tutorial with Examples Linear Algerba - Matrices Part II - Tutorial with Problems and Solutions Linear Algebra - Determinants - A Tutorial with Problems and Solutions Linear 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 Spaces Linear Algebra - Linear Transformations, Operators and MapsLinear Algebra - Eigenvalues, Eigenvector,Cayley Hamilton Theorem Linear Algebra - Problems on Simultaneous Equations, EigenvectorsLinear Algebra - A few closing problems in Recurrence Relations                                                                                                                                                               ------------xxxx------------

Linear Algebra: More about Vector Spaces

## Linear Algebra - More about Vector Spaces - Outline of Contents:

 Defining and explaining the norm of a vector, inner product, Graham-Schmidt process, co-ordinate vectors, linear transformation and its kernel. Introductory problems related to these.

Here's a quick look at some of the problems we'll solve in this tutorial:

Find the co-ordinate vectors of the vector with components (2,3,4,-1) of V
relative to the standard basis of V4.

Find the co-ordinate vectors of the vector with components (2,3,4,-1) of V
relative to the standard basis of [e1, e2, e3 ,e4]
where e1 = (1,1,0,0,)  e2 = (0,1,1,0) e3 = (0,0,1,1) e4 = (1,0,0,1)