Q16Comprehension1 Mark6 Aug 2023PassageLet V1V_1V1 be the vector space of solutions of AX=0AX=0AX=0, where A=[214−110124]A=\begin{bmatrix}2&1&4\\-1&1&0\\1&2&4\end{bmatrix}A=2−11112404 and X=[x1x2x3]X=\begin{bmatrix}x_1\\x_2\\x_3\end{bmatrix}X=x1x2x3. Let V2V_2V2 be the vector space of solutions of BY=0BY=0BY=0, where B=[111−101123]B=\begin{bmatrix}1&1&1\\-1&0&1\\1&2&3\end{bmatrix}B=1−11102113 and Y=[y1y2y3]Y=\begin{bmatrix}y_1\\y_2\\y_3\end{bmatrix}Y=y1y2y3. Answer the given subquestions.What is the nullity of AAA?Your answerPress Enter to check.