Lecture
This lecture covers the concepts of row rank and column rank of a matrix in linear algebra. The row rank is the dimension of the row space of the matrix, while the column rank is the dimension of the column space. The lecture explains how to calculate these ranks and provides examples to illustrate the concepts. It also discusses the relationship between the row and column spaces of a matrix, emphasizing the importance of linear independence in determining the ranks. Various observations and properties related to matrix ranks are explored, shedding light on the fundamental aspects of matrix analysis.