Rank of a Matrix Smirnov Sergey Valerievich 00:16 Dimension of a Subspace 23:35 Rank of a Matrix. The Row Rank 43:51 The Column Rank 01:13:45 Rouché–Capelli Theorem Teach-In: https://teach-in.ru/course/linear-algebra-smirnov YouTube playlist link: https://www.youtube.com/playlist?list=PLcsjsqLLSfNCCQ_ASlLbvnFzxxc9GuCwn VK playlist link: https://vkvideo.ru/playlist/-176441665_850 RuTube playlist link: https://rutube.ru/plst/1440066 #lmsu #msu #lomonosov_moscow_state_university #msu #mechanics_and_mathematics #teach_in #science #math #Smirnov #linear_algebra #algebra #matrix #linear_systems #REF #RREF #vectors #linear_spaces #vector_spaces #linear_subspaces #linear_combination #Rouche_Capelli_theorem #dimension #basis #row_rank #column_rank #rank