Linear Algebra and Its Applications · Problem 2.4.20
Vector Spaces — Gilbert Strang
Mathematics · four-fundamental-subspaces
Problem
(a) If a 7 by 9 matrix has rank 5, what are the dimensions of the four subspaces? What is the sum of all four dimensions?
(b) If a 3 by 4 matrix has rank 3, what are its column space and left nullspace?