Exercise 1.3.8

Answers

\begin{matrix} x_{1} - 0 = b_{1} & x_{1} = b_{1} \\ x_{2} - x_{1} = b_{2} & x_{2} = b_{1} + b_{2} \\ x_{3} - x_{2} = b_{3} & x_{3} = b_{1} + b_{2} + b_{3} \\ x_{4} - x_{3} = b_{4} & x_{4} = b_{1} + b_{2} + b_{3} + b_{4} \end{matrix} = [\begin{matrix} 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 \end{matrix}] [\begin{matrix} b_{1} \\ b_{2} \\ b_{3} \\ b_{4} \end{matrix}] = A^{- 1} b

mathchakra

2021-11-20 14:15