Nullity And Rank Of A Linear Transformation

Definition
Let V and W be vector spaces over the field

Kernel Of Linear Transformation

Kernel Definition
Let V and W be vector spaces over a the field F and T: V → W be a linear transformation, The kernel

Introduction To Linear Transformation

Linear Transformation Definition
Let V and W be vector spaces over the field F, a transformation T from V to W is said to be

Dimension Of Vector Space

Definition of Dimension of a Vector Space
If a vector space V over a field F has a basis consisting of a finite number of

What is the Basis of Vector Space

Basis of a vector space
A basis of a vector space is a set of vectors of the space that (i) are linearly independent and

Linear Dependence and Linear Independence of Vectors

In this article we will learn linear dependence and linear independence of vectors.
Linear Dependence
For a vector space V defined over a field F,

Linear Span / Generator of Vector Space

Before discussing about linear Span we have to learn Linear Combination of vectors.
Linear Combination Definition
Let V be vector space over a field F.

All You Need To Know – Subspace of Vector Space

Subspace of Vector Space
If V is a vector space over a field F and W ⊆ V, then W is a subspace of vector

Introduction To Vector Space In Linear Algebra

Introduction
Here we introduce a general mathematical concept, called vector space.
In the study of mathematics we encounter many examples of mathematical objects that can