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Prabhu TL is an author, digital entrepreneur, and creator of high-value educational content across technology, business, and personal development. With years of experience building apps, websites, and digital products used by millions, he focuses on simplifying complex topics into practical, actionable insights. Through his writing, Dilip helps readers make smarter decisions in a fast-changing digital world—without hype or fluff.
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Gradient of Vector Calculus

The gradient is a fancy word for derivative, or the rate of change of…

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Taylor’s theorem

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Cayley-Hamilton Theorem

Given (1)(2) then (3) where  is the identity matrix. Cayley verified this identity for  and…

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Matrix Diagonalization

Matrix diagonalization is the process of taking a square matrix and converting it into…

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Eigenvalues and Eigenvectors

Introduction This page is a brief introduction to eigenvalue/eigenvector problems (don't worry…

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Determinant of a Matrix

The determinant of a matrix is a special number that can be calculated from…

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Matrix Inverse

This lesson defines the matrix inverse, and shows how to determine whether…

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Algebra of Matrices

Algebra of Matrices is the branch of mathematics, which deals with the vector…

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Curl Of A Vector Function

Suppose I have a vector  such as . Now the curl of this vector  will…

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