Science:Math Exam Resources/Courses/MATH307/April 2009/Question 01 (d)/Statement

In trying to solve the equation Ax = b, where A is the matrix in part (c),

$A={\begin{bmatrix}-10&0&0\\0&-3.5&0\\0&0&0.5\end{bmatrix}}$

you are able to measure b with an accuracy of ${\frac {\|\Delta b\|}{\|b\|}}\leq 0.1$. What is the largest possible relative error ${\frac {\|\Delta x\|}{\|x\|}}$ in your solution for x?