Why do we use linear algebra? What are the matrices and their types ? Linear Algebra is the branch of mathematics in which we study about the all the physical systems that can be modeled as linear systems. Linear algebra Read More …

# Category: Linear Algebra

## How to solve system of linear equations in Linear Algebra?

Introduction to Linear system of equations How to solve system of linear equations in Linear Algebra? A linear equation in n variables x1,x2,x3,…..xn is an equation that can be written in the form of where b and coefficients are real Read More …

## How to perform similar matrices transformation?

Introduction to similar matrix and similar matrix transformation How to perform similar matrices transformation? Two square matrices A and B of the same order nxn are said to be similar if there exists an invertible matrix P such that B=P-1AP. Read More …

## what is the vector space in linear algebra? vector space example

Introduction to Vector Space what is the vector space in linear algebra? The collection of vectors (V1,V2,V3,…..) are said to form a vector space (V) if the following properties are satisfied For any two vectors u,v that belongs to V, Read More …

## How to find the basis of a vector space V?

How to find the basis of a vector space? How to find the basis of a vector space V? In order to find the basis of a vector space , we need to check two properties: The vectors should be Read More …

## How to diagonalize a matrix? Example of diagonalization

Diagonalization of a matrix How to diagonalize a matrix? Example of diagonalization. An nxn matrix A is said to be diagonalizable if there exists an invertible matrix P such that A=PDP–. Procedure for diagonalizing a matrix For diagonalizing a matrix Read More …

## What is the application of linear algebra in cryptography?

Application of linear algebra in cryptography What is the application of linear algebra in cryptography? Application of linear algebra in cryptography. Linear algebra is widely used in many engineering applications. The most common examples are: network solving, chemical equation balancing, Read More …

## what are the eigen values and eigen vectors? explain with examples

Introduction to eigen values and eigen vectors what are the eigen values and eigen vectors? explain with examples Eigen Values and Eigen Vectors has a great significance in many engineering problems specially in case of linear systems where we want Read More …

## what are the linearly dependent and independent vectors?

Linearly Independent Vectors: what are the linearly dependent and independent vectors? The vectors v1,v2,v3,…vn in a vector space V are said to be linearly dependent if there exist constants c1,c2,c3,….cn not all zero such that: c1v1+c2v2+c3v3+……+cnvn=0 ————————-(i) otherwise v1,v2,v3,…..vn are Read More …

## What are the nodal incidence matrices?

What are the nodal incidence matrices? What are the nodal incidence matrices?. Nodal incidence matrices (NIM) are used for electrical network modeling. Any network consisting of larger number of branches or edges and nodes can be modeled through them. The Read More …