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Higher Mathematics Courses: https://mathstudy.online/highmath All announcements and mathematical activity in Andrey Pavlikov's Telegram: https://t.me/mathmsu Courses on the specialized Unified State Exam: https://3.shkolkovo.online/math-msu And don't forget to use PROMO CODES for a discount: -50% DISCOUNT on the Annual Course with the promo code SNOW-50 (saving over 8,000 rubles) -25% DISCOUNT for a month with the promo code SNOW-25 VK Group: https://vk.com/hitman_math Tik-Tok: / hitman_math My Instagram: / andreypavlikov_math 0:00 Introduction 1:36 Information about the first courses in highmath 2:02 What is a matrix 5:24 Product of matrices 8:10 Square matrices 9:44 Historical background 12:55 What happens if you change the order of factors in a product 22:20 Conclusion of a matrix higher mathematics system of linear equations higher mathematics definition of a matrix rectangular table sum of matrices addition of matrices multiplication of a matrix by a number zero matrix identity matrix properties of addition of matrices properties of multiplication of matrices by a number product of matrices inverse matrix permutation matrices matrix equations Diophantus linear equation quadratic equation Cramer's method Cramer's method non-singular matrix singular matrix Gauss's method Leibniz Weierstrass Frobenius Jordan Sylvester matrix algebra