Uploaded October 2024 | Updated September 2026, 1 week ago
(youtu.be/Zq7g1nc2MJ8)
(youtu.be/-SQirLL_pqU)
(youtu.be/EOJbmMB8uCQ)
(youtu.be/BbTwa4Dbmmo)
Optimization: Finding Points on an Ellipse Farthest from a Given Point
In this video, we explore an optimization problem where we aim to find the point(s) an the ellipse defined furthest away from a specified point. We'll walk through the process step by step, including setting up the distance function and using calculus techniques to optimize the distance.
By the end of the video, you'll understand how to approach similar optimization problems involving ellipses and other constraints.
Support my work on Patreon: patreon.com/patrickjmt?ty=c
Hashtags:
#Optimization #Ellipse #Calculus #PatrickJMT #MathTutorial #OptimizationProblem #CalculusHelp #DistanceFormula #MathExplained #MathSolutions #PatrickJMT #Geometry #LearningMath #MathTips #MathTeacher #MathEducation
(youtu.be/Zq7g1nc2MJ8)
(youtu.be/-SQirLL_pqU)
(youtu.be/EOJbmMB8uCQ)
(youtu.be/BbTwa4Dbmmo)
Optimization: Finding Points on an Ellipse Farthest from a Given Point
In this video, we explore an optimization problem where we aim to find the point(s) an the ellipse defined furthest away from a specified point. We'll walk through the process step by step, including setting up the distance function and using calculus techniques to optimize the distance.
By the end of the video, you'll understand how to approach similar optimization problems involving ellipses and other constraints.
Support my work on Patreon: patreon.com/patrickjmt?ty=c
Hashtags:
#Optimization #Ellipse #Calculus #PatrickJMT #MathTutorial #OptimizationProblem #CalculusHelp #DistanceFormula #MathExplained #MathSolutions #PatrickJMT #Geometry #LearningMath #MathTips #MathTeacher #MathEducation





![✦ Diagonalization / Diagonalizing a Matrix, Part 2 ✦
(https://youtu.be/bjt3GiM4B0A)
Diagonalization Part 2 | Solving the Example of Matrix A
In this follow-up video, we continue our journey into matrix diagonalization by working through the example introduced in the previous video. Well apply the diagonalization process to matrix
A and fully break down each step, from calculating eigenvalues and eigenvectors to constructing matrices P and D. This video will solidify your understanding of diagonalization by seeing it applied in practice.
What You Will Learn:
Step-by-step solution to the diagonalization example from Part 1.
How to construct matrices
P and D for matrix A.
Techniques to simplify computing powers of A using diagonalization.
This example-based walkthrough will help you grasp the practical application of diagonalization, making matrix computations more intuitive and manageable.
[Patreon support link for PatrickJMT] (https://www.patreon.com/patrickjmt?ty=c)
#Diagonalization #MatrixFactorization #MatrixExample #Eigenvalues #Eigenvectors #PatrickJMT #Mathematics #LinearAlgebra #MathTutorial #MathHelp #EducationalMath #MathExplained #MathTeacher #MatrixDecomposition #MatrixSimplification #Algebra #LearnMath ✦ Diagonalization / Diagonalizing a Matrix, Part 2 ✦](https://i.ytimg.com/vi/n5wcrpc0ng0/mqdefault.jpg)




