Solution: Find the general solutions of the systems whose

Chapter 1, Problem 11E

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QUESTION:

Find the general solutions of the systems whose augmented matrices are given in Exercise.

\(\left[\begin{array}{rrrr}
3 & -2 & 4 & 0 \\
9 & -6 & 12 & 0 \\
6 & -4 & 8 & 0
\end{array}\right]\)

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QUESTION:

Find the general solutions of the systems whose augmented matrices are given in Exercise.

\(\left[\begin{array}{rrrr}
3 & -2 & 4 & 0 \\
9 & -6 & 12 & 0 \\
6 & -4 & 8 & 0
\end{array}\right]\)

ANSWER:

Step 1 of 2

Consider the given matrix is.

\(\left[\begin{array}{cccc}
3 & -2 & 4 & 0 \\
9 & -6 & 12 & 0 \\
6 & -4 & 8 & 0
\end{array}\right]\)

Consider the operations.

Divide, third row by 2, second row by 3.

\(\left[\begin{array}{llll}
3 & -2 & 4 & 0 \\
3 & -2 & 4 & 0 \\
3 & -2 & 4 & 0
\end{array}\right]\)

Subtract the first row by second one.

\(\left[\begin{array}{cccc}
3 & -2 & 4 & 0 \\
0 & 0 & 0 & 0 \\
3 & -2 & 4 & 0
\end{array}\right]\)

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