What is Singular Value Decomposition? In this article we have discussed about Implementation of SVD ins Machine Learning. SVD, singular value decomposition is one of the methods of dimension reduction. In the field of machine learning, dimension reduction has become Read More …

# Category: Linear Algebra

## 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 row spaces, column spaces and null spaces in Linear Algebra?

Introduction to row spaces, columns spaces and null spaces For any given matrix ‘A’ of order mxn, there are three types of spaces associated to them: row(A), col (A), and null (A). These spaces are linked with the solution of Read More …

## What are the Orthogonal and Orthonormal vectors?

Introduction In this article you will learn about the orthogonal and orthonormal vectors. Then you will see if the set of vectors are not orthogonal or orthonormal then how we can do that using the Gram Schmidt Procedure. Orthogonal vectors 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 are the shortcuts for finding the determinant of a matrix?

Introduction In this article, I will discuss the shortcuts for finding the determinant of a matrix. Determinant has great significance in linear algebra. There are many practical problems that can be modeled as a linear system. When the systems are Read More …

## What are the Block Matrices?

Introduction to Block Matrices What are the Block Matrices? In matrix multiplication, whenever the order is high and we have some repeated entries in the matrix we prefer to use the concept of block matrices multiplication. In this approach a Read More …

## How to test the given vectors are linearly independent or not?

Linearly Independent Vectors: How to test the given vectors are linearly independent or not? 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) Read More …

## What are the matrices and their types ?

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 …

## 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 …