Chapter 4 - Vector Spaces - 4.9 The Rank-Nullity Theorem - True-False Review - Page 329: c

True

The Rank-Nullity Theorem gives: $rank(A)=9-nullity(A)=9-2=7$. $$rank(A)+nullity(A)=7 \\ \implies rank(A)+ 0 =7$$ We can see that rowspace (A) is a 7-dimensional subspace of $R^7$ that means that $rowspace (A) =R^7$ Hence, the given statement is True.