Science:Math Exam Resources/Courses/MATH307/December 2010/Question 02 (c)/Statement

Suppose that

$A={\begin{bmatrix}1&1&0&1&0\\2&2&1&3&0\\3&3&1&4&1\\4&4&1&5&1\end{bmatrix}}\quad {\text{rref}}(A)={\begin{bmatrix}1&1&0&1&0\\0&0&1&1&0\\0&0&0&0&1\\0&0&0&0&0\end{bmatrix}}$

(c) Write down a basis for R(A^T).