Diagonalización de una Matriz 3x3











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▼ 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, eigenvectors, characteristic vectors) 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 • ---------- • ** 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 • ----

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