Solution Found!
Solution: Consider each matrix in Exercises 5 and 6 as the
Chapter 1, Problem 6E(choose chapter or problem)
Consider each matrix in Exercise as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system.
\(\left[\begin{array}{rrrrr}
1 & -6 & 4 & 0 & -1 \\
0 & 2 & -7 & 0 & 4 \\
0 & 0 & 1 & 2 & -3 \\
0 & 0 & 3 & 1 & 6
\end{array}\right]\)
Questions & Answers
QUESTION:
Consider each matrix in Exercise as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system.
\(\left[\begin{array}{rrrrr}
1 & -6 & 4 & 0 & -1 \\
0 & 2 & -7 & 0 & 4 \\
0 & 0 & 1 & 2 & -3 \\
0 & 0 & 3 & 1 & 6
\end{array}\right]\)
Step 1 of 5
Consider the following augmented matrix of the linear system:
\(\left( {\begin{array}{*{20}{c}}1&{ - 6}&4&0&{ - 1}\\0&2&{ - 7}&0&4\\0&0&1&2&{ - 3}\\0&0&3&1&6\end{array}} \right)\)
Step 2 of 5
To solve the system, use the following row operation.
\({R_4} \to {R_4} - 3{R_3}\)
In words, change row 4 as add -3 times row 3 to the row 4 as,
\(\left( {\begin{array}{*{20}{c}}1&{ - 6}&4&0&{ - 1}\\0&2&{ - 7}&0&4\\0&0&1&2&{ - 3}\\0&0&3&{ - 5}&{15}\end{array}} \right)\)
In words, again change row 4 as -1/5 times row 4 as