Karan's blog

Karan's blog

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@kpdotdev @karan-parekh

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Karan's blog

Learning and sharing the problems I have faced as a developer. Just giving back to the community I learned so much from!

Recent articles

Eigenvectors and Eigenvalues

Feb 1, 2023 Prerequisites Linear Transformation and Determinants are the two concepts one needs to be clear about before attempting to learn what Eigenvectors and Eigenvalues are. Once familiar with them, the core concept is pretty simple to grasp. Core concept ...

Matrix Determinants

Jan 27, 2023 A simple but important prerequisite for this topic is to understand how linear transformations transform the vector space around it. If you don't then you can read my article on Linear Transformation and come back here for Determinants. Core concept ...

Linear Transformation

Jan 22, 2023 Core concept Transformation is another word for function. A function takes in some input, transforms it, and spits out an output. This function or transformation is represented by a matrix. To better understand it, consider the following matrix. $$A ...

Matrix Inversion

Jan 19, 2023 Pre-requisite To develop an intuition for Matrix Inversion it is important to be familiar with the concepts of Linear Transformation and Matrix Determinants. Please read these articles if you need a refresher. Core The Inverse of a matrix depends on ...

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