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linear algebra

29 posts

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

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

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Complex Matrices

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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Gauss Elimination Method

Last Updated: 07 August 2025

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 m...read more

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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

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LMNs -Linear Algebra

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

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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

School Learning

Matrix and Determinant

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

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School Learning

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

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School Learning

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

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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

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

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

Quadratic Form of a Matrix

Last Updated: 23 July 2025

Quadratic Form of a Matrix is a mathematical concept that arises frequently in various fields such as linear algebra, statistics, and optimization. Essentially, a quadrati...read more

Engineering Mathematics

Linear Combinations: Definition & Equation

Last Updated: 09 October 2025

Linear combination involves combining a set of vectors by multiplying each vector by a scalar (a real number) and then adding the results together. For example, if you hav...read more

Engineering Mathematics