Matrix Dimension Calculation

This lecture, presented by the instructor, focuses on calculating the dimension of a kernel of the transpose of a given matrix A, based on the dimension of a vector space W. The instructor explains the concepts of linear transformations, image spaces, and the rank of matrices to derive the solution. By applying the rank theorem and understanding the properties of transposes, the lecture concludes with a clear explanation of how to determine the dimension of the kernel of the transpose of A.