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Introduction to Vector Spaces

Last Updated: 15 May 2026

A vector space V over a field F is a collection of vectors that is closed under vector addition and scalar multiplication. These operations satisfy certain axioms that ens...read more

Introduction to Linear Algebra

Last Updated: 18 April 2026

Linear Algebra is the branch of mathematics that studies vectors, matrices, and linear equations and how they interact. It’s about solving systems like the following:\begi...read more

Matrices- PYQs | Engineering Mathematics

Last Updated: 05 September 2025

In examinations, questions on matrices are considered very important. Most PYQs are based on definitions, basic operations, and special properties of matrices. To solve su...read more

Engineering Mathematics

Maths

linear algebra

Diagonalization of a Matrix

Last Updated: 02 September 2025

The process of converting a square matrix into diagonal form using a similarity transformation is called diagonalization. A matrix A is diagonalizable if there exists an i...read more

Last Updated: 26 August 2025

A complex matrix is made up of complex numbers in the form x + iy, where i = √-1.A complex matrixA∈ Cm×nhas entriesaij = Real(aij) + i⋅Imaginary(aij) A complex matrix is ...read more

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Mathematics

linear algebra

Gauss Elimination Method

Last Updated: 18 June 2026

The Gaussian Elimination Method is a fundamental algorithm in linear algebra used to solve systems of linear equations.By transforming a system into an upper triangular ma...read more

Linear Algebra in Computer Science

Last Updated: 05 August 2025

Linear algebra is a core mathematics discipline that has a fundamental role in many areas of computer science. It forms the mathematical foundation for numerous algorithms...read more

Last Updated: 23 July 2025

Linear algebra isthe study of linear combinations. It is the study of vector spaces, lines and planes, and some mappings that are required to perform the linear transforma...read more

How to Multiply a 3 × 3 Matrix with a 3 × 1 Matrix

Last Updated: 23 July 2025

Matrix multiplication is a way to combine two matrices (rectangular arrays of numbers) to create a new matrix.You can only multiply two matrices if the number of columns i...read more

Mathematics

School Learning

Matrix and Determinant

Maths

linear algebra

How to Multiply 3 × 3 Matrices

Last Updated: 23 July 2025

Matrix multiplication is a mathematical operation performed on two matrices that results in a single matrix, called the product matrix. It combines two matrices by followi...read more

How to Multiply 2 × 2 Matrices

Last Updated: 23 July 2025

Matrix multiplication is a mathematical operation that combines two matrices to produce a new matrix, also known as the product matrix. This operation is defined for two m...read more

Graphing Linear Inequalities

Last Updated: 23 July 2025

Graphing linear inequalities is a key skill in algebra, used to visualize solutions on the coordinate plane. It is essential for solving systems of inequalities, analyzing...read more

Solve Systems of Equations Using Matrices

Last Updated: 07 August 2025

A system of linear equations is a collection of two or more linear equations involving the same set of variables. It is a set of equations where each equation represents a...read more

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Mathematics

linear algebra

Properties of Eigenvalues

Last Updated: 23 July 2025

Eigenvalues arethe special set of scalar values that is associated with the set of linear equations most probably in the matrix equations. The eigenvectors are also termed...read more

Engineering Mathematics

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linear algebra

Bilinear Form

Last Updated: 23 July 2025

In mathematics, a bilinear form is a function that combines two vectors to the produce a scalar. It generalizes the concept of the dot product to the more abstract vector ...read more

Engineering Mathematics

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