math 221 week 3 quiz answers
& 2 & 3 \\ 0 & 1 & 4 \\ 0 & 0 & 0 \end{bmatrix} \] find the rank and nullity of \(A\). Answer: The rank is the number of non-zero rows in the row echelon form. The matrix has two non-zero rows, so: \[ \boxed{ \text{Rank}(A) = 2 } \] The nullity, by the Rank-Nu