27 Czym Jest Diagonalizacja Macierzy

In this video, you will learn about: 1:00 Eigenspace 2:43 What is matrix diagonalization? 6:40 Product of eigenvalues ​​and sum of eigenvalues 11:30 Calculating a matrix to a power, its inverse, the square root of a matrix, and its exponent 18:40 Justifying the formula for diagonal decomposition 28:14 Can every matrix be diagonalized? 32:20 Justifying the formulas for raising - exponentiation of a matrix, inverting a matrix, taking the square root of a matrix, and matrix exponents 37:12 What does it mean to exponentiate a diagonal matrix? 39:26 What does it mean to invert a diagonal matrix? 42:54 What does it mean to take the square root of a diagonal matrix? 46:48 How to diagonally decompose (calculating eigenvalues ​​and eigenvectors) #matrices #algebra #mathematics Mateusz Kowalski Video Author Blog http://www.kowalskimateusz.pl