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Matrix Diagonalization

Matrix diagonalization is the process of taking a square matrix and converting it into a special type of matrix–a so-called diagonal matrix–that shares…

Eigenvalues and Eigenvectors

Introduction This page is a brief introduction to eigenvalue/eigenvector problems (don’t worry if you haven’t heard of the latter).  Before…

Determinant of a Matrix

The determinant of a matrix is a special number that can be calculated from a square matrix. A Matrix is an array of numbers: A…

System of linear equations

Matrix Inverse

This lesson defines the matrix inverse, and shows how to determine whether the inverse of a matrix exists. Matrix Inversion Suppose A is an n x n matrix.…

Algebra of Matrices

Algebra of Matrices is the branch of mathematics, which deals with the vector spaces between different dimensions. The innovation of matrix…

Curl Of A Vector Function

Suppose I have a vector  such as . Now the curl of this vector  will be So if I evaluate the determinant, I’ll get…

Divergence Of A Vector Function

Suppose I have a vector  such as . Now the divergence of this vector  will be So if I use the technique for first-order…

The Line Integral Of A Scalar Field

EXAMPLE 1 According to Stroud and Booth (2011),* “If , evaluate between  and  along the curve with parametric equations .” SOLUTION Here the given scalar field…

Gaussian Elimination Method In 3 × 3 Matrices

Suppose I have a system of equations like How it would be if I want to write it in a…