A technical guide to solving systems of linear equations using substitution and matrix methods, including detailed proofs and historical context.
Featured Articles on: MATHEMATICS
Solving Quadratic Equations ##x^2 – 7x + 10 = 0##
A professional deep dive into solving quadratic equations using the factoring method. Step-by-step analysis of ##x^2 – 7x + 10 = 0## with technical proofs and historical context.
Simplify ## \frac{x^2 – 9}{x^2 + 5x + 6} ##
Learn how to simplify ##\frac{x^2 – 9}{x^2 + 5x + 6}## using difference of squares and trinomial factoring while identifying excluded values and discontinuities.
Simplifying Polynomial Expressions: Technical Step-by-Step Guide
A technical overview of simplifying polynomial expressions, focusing on distribution, combining like terms, and verification through numerical and calculus-based methods.
Linear Equation with One Variable: Technical Solution and Analysis
A technical guide to solving the linear equation with one variable 5x – 12 = 3x + 8. Includes step-by-step algebraic reduction, verification, and historical context.
SASTRA Ramanujan Award 2025: Breakthroughs in Number Theory
Learn about SASTRA Ramanujan Award 2025 winner Dr. Alexander Smith and his work on congruent number problems and class group distributions.
National Mathematics Day 2025: Ramanujan’s Influence on AI
National Mathematics Day 2025 celebrates the profound legacy of Srinivasa Ramanujan and his impact on modern AI and physics.
NEP 2020 math curriculum: Integrating AI and Ancient Heritage
Discover how the NEP 2020 math curriculum in 2025 is revolutionizing Indian classrooms by combining AI literacy with ancient mathematical heritage.
Ramanujan Junior Researchers Programme: A New Era of Math Research
Discover how the Ramanujan Junior Researchers Programme is fostering India-UK collaboration in theoretical physics and mathematics.
Experiential Math Learning: Curing Math Phobia in India
Experiential math learning is transforming Indian education. Discover how Ramanujan Math Parks and Atal Tinkering Labs are making math hands-on.
The Power of Banach Limits
Explore the fascinating world of the Banach Limit, a mathematical tool that extends the concept of limits beyond convergent sequences, assigning a limit value to sequences that might otherwise seem ‘limitless’.
Understanding Stochastic Convergence
Explore the intricacies of Stochastic convergence, a vital concept in probability theory. Learn about the different types and their applications in statistics and stochastic processes.
Understanding the Convergent Matrix
A **Convergent Matrix** is a square matrix that converges to the zero matrix when raised to successive powers. This article explores the properties of these matrices and their importance in iterative methods.
Category Theory Limits
Category theory limits provide a unified way to describe and relate various mathematical structures. This post explains how category theory limits are fundamental tools for understanding complex mathematical ideas.
Limit Superior and Inferior
Understand Limit Superior and Inferior: Learn how these concepts define the eventual bounds of sequences and functions, and their importance in mathematical analysis.
The Diverse Types of Convergence in Mathematics
Understanding the different **types of convergence** is essential in mathematics. From sequences and series to functions, this post explores the various modes of convergence.