Q47Comprehension1 Mark2 Apr 2023PassageConsider the system AX=bAX=bAX=b, where A=[1111011−11]A=\begin{bmatrix}1&1&1\\1&0&1\\1&-1&1\end{bmatrix}A=11110−1111, X=(x,y,z)TX=(x,y,z)^TX=(x,y,z)T, and b=(1,1,1)Tb=(1,1,1)^Tb=(1,1,1)T. Let LLL be the solution set and WWW be the subspace corresponding to LLL.Define T:W→R2T:W\to\mathbb{R}^2T:W→R2 by T(x,y,z)=(0,x−z)T(x,y,z)=(0,x-z)T(x,y,z)=(0,x−z). What is the rank of TTT?Your answerPress Enter to check.
