Matrix Diagonalisation: Concept, Conditions & Example
Learn how to diagonalize matrices, understand conditions, and see a step-by-step example in linear algebra. 📊

Sumit Padmor
37 views • Nov 3, 2025

About this video
Learn the complete concept of matrix diagonalisation in linear algebra.
This lesson explains how to determine if a matrix is diagonalizable, how to find eigenvalues and eigenvectors, and how to form the diagonal matrix (D) and modal matrix (P) such that A = P D P⁻¹.
Includes:
Definition and importance of diagonalisation
Conditions for diagonalizability
Step-by-step numerical example
Applications in simplifying matrix computations
Perfect for students of B.Sc., B.Tech, and Engineering Mathematics courses.
This lesson explains how to determine if a matrix is diagonalizable, how to find eigenvalues and eigenvectors, and how to form the diagonal matrix (D) and modal matrix (P) such that A = P D P⁻¹.
Includes:
Definition and importance of diagonalisation
Conditions for diagonalizability
Step-by-step numerical example
Applications in simplifying matrix computations
Perfect for students of B.Sc., B.Tech, and Engineering Mathematics courses.
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Video Information
Views
37
Likes
3
Duration
6:24
Published
Nov 3, 2025
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