Karan Parekh

@karanparekh

Python and more

Melbourne, AustraliaJoined July 2022

About

I am a developer sharing the problems I solve through my blog. Just giving back to the community I learned so much from! Have an amazing day :)

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Karan Parekh's blogs

Karan's Blogkaranparekh.dev8 posts

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Recently published

KPKaran Parekhkaranparekh.devFeb 1, 2023 · 8 min read

Eigenvectors and Eigenvalues

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 ...

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KPKaran Parekhkaranparekh.devJan 27, 2023 · 8 min read

Matrix Determinants

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 ...

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KPKaran Parekhkaranparekh.devJan 22, 2023 · 3 min read

Linear Transformation

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 ...

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KPKaran Parekhkaranparekh.devJan 19, 2023 · 7 min read

Matrix Inversion

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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KPKaran Parekhkaranparekh.devJan 14, 2023 · 6 min read

Gaussian Reduction

Two simultaneous equations Consider the following system of two simultaneous equations $$\begin{array}{r} & 3a + b = 8 \quad...(1) \\ & a - 2b = 5 \quad...(2) \\ \end{array} $$ We can solve it by multiplying equation (1) by 2 and adding it to equatio...

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Karan Parekh

About

Available for

Karan Parekh's blogs

Recently published

Eigenvectors and Eigenvalues

Matrix Determinants

Linear Transformation

Matrix Inversion

Gaussian Reduction

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Karan Parekh

About

Available for

Karan Parekh's blogs

Recently published

Eigenvectors and Eigenvalues

Matrix Determinants

Linear Transformation

Matrix Inversion

Gaussian Reduction