Линейная алгебра (Linear Algebra)

Course
ru
Russian
11 h
This content is rated 5 out of 5
Source
  • From www.coursera.org
Conditions
  • Self-paced
  • Free Access
  • Fee-based Certificate
More info
  • 11 Sequences
  • Introductive Level

Course details

Syllabus

Неделя 1. Линейное пространство.

Неделя 2. Линейный функционал. Линейное отображение.

Неделя 3. Базис и размерность.

Неделя 4. Метод Гаусса. Решение систем линейных уравнений.   

Неделя 5. Матрица линейного отображения. Переход к другому базису.

Неделя 6. Определитель матрицы. Линейный оператор.

Неделя 7. Замена базиса линейного оператора. Собственные векторы, собственные значения, собственный базис.

Неделя 8. Жорданова нормальная форма. Сжимающие отображения. Теорема Фробениуса.

Неделя 9. Билинейные формы. Квадратичные формы.

Неделя 10. Ортогонализация. Приведение формы к главным осям.

Неделя 11. Метод наименьших квадратов.

Prerequisite

None

Instructors

Irina Khovanskaya
Senior Research Fellow, Lecturer
International Laboratory for Institutional Analysis of Economic Reforms

Editor

The National Research University 'School of Advanced Studies in Economics' (EHESE) in Moscow was founded in 1992 on the initiative of Russian economists.

A state university since 2001, initially under the supervision of the Ministry of Economic Development, it has been a higher education and research establishment directly attached to the government of the Russian Federation since 2008. Its current status as a national research university of Russia was conferred in 2009, following an inter-university competition.

It is known internationally as the Higher School of Economics (HSE).

In addition to Moscow, the school has three subsidiary campuses: in St Petersburg, Nizhny Novgorod and Perm.

Regularly ranked in the Top 100 of the world's best universities by the QS World University Rankings, it is the second most reputed4 in Russia.

Platform

Coursera is a digital company offering massive open online course founded by computer teachers Andrew Ng and Daphne Koller Stanford University, located in Mountain View, California. 

Coursera works with top universities and organizations to make some of their courses available online, and offers courses in many subjects, including: physics, engineering, humanities, medicine, biology, social sciences, mathematics, business, computer science, digital marketing, data science, and other subjects.

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