# Nullity And Rank Of A Linear Transformation

In this article we will learn about 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