(5) Let A be an mxn matrix. The row space of A, denoted rowspace(A), is the span of the row vectors of A. Since row operations are nothing more than linear combinations of the row vectors, we see that if A and B are two row-equivalent matrices, then rowspace(A)=rowspace (B). Therefore, the set of nonzero row vectors in any row- echelon form of an m x n matrix A is a basis for rowspace(A). (a) Suppose the following 4 x 6 matrix A has been row reduced accordingly: 14-15 A = 1 4-1 2 3 5 -2 -7 5 -5 -6 -9 -2-6 6 -6 -6 -8 1 5 2 1 3 0 →> 01 30 00 10 00 0 1 Row space • Determine the dimension of the row space of A • Determine the vector space that contains the row space of A . Determine a basis for the row space of A Column space • Determine the dimension of the column space of A • Determine the vector space that contains the column space of A • Determine a basis for the column space of A