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Category: Mathematics

Matrices Addition, Subtraction and Multiplication in Linear Algebra

May 23, 2025May 24, 2025 Asma Mushtaq
matrices addition, subtraction and multiplication

Introduction In linear algebra, matrices are rectangular arrays of numbers, and operations like addition, subtraction, and multiplication follow specific rules. Below, I’ll explain each operation clearly and concisely, assuming you’re familiar with basic matrix notation. Matrix Addition Definition: Two matrices Read More …

Linear Algebra, MathematicsLeave a comment

Principal Component Analysis | Dimensionality Reduction with Examples

May 18, 2025May 19, 2025 Asma Mushtaq
Principal Component Analysis

Introduction to Principal Component Analysis In this article, you will learn about in depth about the Principal Component Analysis (PCA) technique which is used for reducing the dimension of data while preserving the variance. It is actually the transformation of Read More …

Linear AlgebraLeave a comment

How to Find the Eigen Values and Eigen Vectors? Example

May 18, 2025May 18, 2025 Asma Mushtaq
Find Eigen Values and Eigen Vectors in

Introduction to eigen values and eigen vectors How to Find 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 Read More …

Linear Algebraapplication of eigen values, eigen values, eigen vectors, power methodLeave a comment

Simple Matrix Calculator

April 27, 2025April 28, 2025 Asma Mushtaq
Matrices Arithmetic Tool

Introduction to Matrix calculator This is an online tool that helps students for performing the arithmetic operations (addition, subtraction, and multiplication) online. It is simple and easy to use. You just need to select the order of matrices. In Matrix Read More …

Linear Algebra, MathematicsLeave a comment

What is the Secant method? Derivation of Secant method

April 15, 2025April 16, 2025 Asma Mushtaq

Introduction to Secant Method What is the Secant method? Derivation of Secant method. The problem with the Newton Raphson’s method is that it requires the evaluation of the derivative for calculating each approximation of a root. Most of the times Read More …

Numerical analysisalgorithm of secant method, derivation of secant method, example of secant method, secant methodLeave a comment

What are the Vector Space and Subspace in Linear Algebra ?

February 25, 2025March 11, 2025 Asma Mushtaq

Vector Space Definition in Linear Algebra 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 Read More …

Linear Algebrareal numbers, subspace of R2, Vector spaces, zero vector as subspace2 Comments

Solution of Linear System of Equations using Gauss Elimination

February 23, 2025February 26, 2025 Asma Mushtaq
Solution of Linear System of Equations

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 …

Linear Algebradeterminant properties, Gauss Elimination, homogeneous systems, Linear systems, matrix, rank of a matrix2 Comments

What is the Inner Product and Inner Product Space ?

February 18, 2025February 26, 2025 Asma Mushtaq
linear combination of vectors

Introduction In mathematics, particularly in linear algebra and functional analysis, the concepts of inner product and inner product space play a crucial role in generalizing geometric ideas like length, angle, and orthogonality to more abstract settings. These concepts are foundational in fields such as Read More …

Linear AlgebraLeave a comment

Eigen Values of Similar Matrices | Linear Algebra

February 14, 2025February 23, 2025 Asma Mushtaq

Introduction Two matrices, say A and B, are called similar if there exists an invertible matrix P such that:   B=P−1AP   This means that B is essentially a transformed version of A. But here’s the cool part: even though A and B might look different, they share something very special—their eigenvalues!” Eigenvalues are those Read More …

Linear AlgebraLeave a comment

Find the Extreme values of the Function?| Finding minimum Value with Example

January 16, 2025 Asma Mushtaq

Introduction Finding extreme values of a function involves identifying the maximum and minimum values the function can achieve. These values can occur at critical points (where the derivative is zero or undefined) or at the boundaries of the domain. Steps Read More …

Elementary Math, MathematicsLeave a comment

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