Lecture 30 | Solved Example on the diagonalisation of a matrix | D=Pinv A P
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YouTubeUNDERGRAD PHYSICS
Lecture 30 | Solved Example on the diagonalisation of a matrix | D=Pinv A P
In this video, I solve a step-by-step example on the diagonalization of a matrix. Learn how to transform a matrix 𝐴 A into its diagonal form D=P^−1AP using eigenvalues and eigenvectors. Key concepts covered: Finding eigenvalues of a matrix Determining eigenvectors Constructing the diagonal matrix 𝐷 D Computing the transformation matrix ...
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Does the diagonal actually exist? 📐🤯 Imagine a perfectly square park, 100ft by 100ft. You need to get to the opposite corner. 🔹 Euclidean Math: Walk the diagonal = 141 ft. 🔹 Grid Rules: You can only move North or East. If you take the edge, it’s 200 ft. Too long. So you cut through the middle using stairs. 🪜 North, East, North, East. It looks shorter. So you shrink the stairs. You make them microscopic. You break the
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Does the diagonal actually exist? 📐🤯 Imagine a perfectly square park, 100ft by 100ft. You need to get to the opposite corner. 🔹 Euclidean Math: Walk the diagonal = 141 ft. 🔹 Grid Rules: You can only move North or East. If you take the edge, it’s 200 ft. Too long. So you cut through the middle using stairs. 🪜 North, East, North, East. It looks shorter. So you shrink the stairs. You make them microscopic. You break the
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