(1 point) Consider the matrix
\begin{bmatrix} 5 & -2 & -6 & 8\\ 20 & -10 & 2 & 2\\ -15 & 3 & 10 & -8\\ 20 & -11 & 1 & 2 \end{bmatrix}
(a) On the matrix above, perform the row operation $R_1 \rightarrow \frac{1}{5}R_1$. The new matrix is:
(b) Using the matrix obtained in your answer for part (a) as the initial matrix, next perform the row operations
(i) $R_2 \rightarrow R_2 - 20R_1$,
(ii) $R_3 \rightarrow R_3 + 15R_1$,
(iii) $R_4 \rightarrow R_4 - 20R_1$.
The new matrix is:
(c) Using the matrix obtained in your answer for part (b) as the initial matrix, next perform the row operations
(i) $R_2 \rightarrow \frac{1}{2}R_2$,
(ii) $R_3 \rightarrow \frac{1}{-5}R_3$,
