Diagonalización de Matrices en 4 pasos: EXPLICACIÓN COMPLETA

▼ IMPORTANT ▼ How to diagonalize a matrix. I will first define what a diagonal matrix is, showing examples of 2x2, 3x3 and 4x4 square matrices. We will see a property that will allow us to quickly calculate powers of diagonalizable matrices. And we will see 4 simple steps to diagonalize a matrix, first by calculating the eigenvalues (eigenvalues, characteristic values, eigenvalues) solving the characteristic polynomial of the matrix, by developing a determinant, factoring and solving a general equation of the second degree. Then we calculate the eigenvectors (eigenvectors, characteristic vectors, eigenvectors) associated with these values, by solving a homogeneous system of linear equations with infinite solutions. Then we will form the matrices D and P, and finally we will calculate the inverse of P by means of a simple formula with a determinant (Adjoint formula). Once this is done, we will calculate the matrix raised to the exponent 5. Everything explained step by step. #Matrices #LinearAlgebra #Algebra 00:00 Introduction to diagonalizable matrices. 10:39 Calculate the eigenvalues. 13:27 Calculate the associated eigenvectors. 17:29 Form the matrices P and D. 18:50 Calculate the inverse P matrix. 21:32 Applications in exercises. Matrix powers. 12:39 PM Farewell and thanks. ---------- ** IMPORTANT LINKS ** Linear Algebra Course:    • Curso de ÁLGEBRA LINEAL   Special Videos:    • Members-only videos   Mathematics Review Course (Pre-University)    • Curso de Repaso de Matemáticas   ---------- ** SEE ALL MY COURSES HERE **    / arquimedes1075   ---------- ** BIBLIOGRAPHY ** Linear Algebra, Grossman Linear Algebra, Kolman Hill ---------- ** DONATIONS ** Paypal: https://www.paypal.com/cgi-bin/webscr... Channel memberships:    / @matefacilyt   Patreon:   / matefacil   ---------- ** MY OTHER CHANNELS AND SOCIAL NETWORKS ** Physics Channel:    / @matefacilfisica   Videogame Channel:    / @matefacily   Twitch:   / matefacil   MateFacil App: https://educup.io/apps/matefacil Facebook (Page):   / arquimedes1075   Twitter: @Matefacilx Instagram: @Matefacilx Discord:   / discord   ---------- #Matefacil #Matematicas #Math #tutorial #tutor #tutoriales #profesor ----