Question

The echelon form of the augmented matrix of a system of linear equations has the following form \[ \left[\begin{array}{lllll|l} 1 & * & * & * & * & * \\ 0 & 1 & * & * & * & * \\ 0 & 0 & 0 & 1 & * & * \\ 0 & 0 & 0 & 0 & 1 & * \end{array}\right], \] where \( \left({ }^{*}\right) \) denotes any real number. What can you say about the number of the solutions of this system?

          The echelon form of the augmented matrix of a system of linear equations has the following form
\[
\left[\begin{array}{lllll|l}
1 & * & * & * & * & * \\
0 & 1 & * & * & * & * \\
0 & 0 & 0 & 1 & * & * \\
0 & 0 & 0 & 0 & 1 & *
\end{array}\right],
\]
where \( \left({ }^{*}\right) \) denotes any real number. What can you say about the number of the solutions of this system?

The echelon form of the augmented matrix of a system of linear equations has the following form

[
1 * * * * *

0 1 * * * *

0 0 0 1 * *

0 0 0 0 1 *
],

where (^*) denotes any real number. What can you say about the number of the solutions of this system?

Added by Rebecca H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Nicole Smina

Step 1

The matrix is in row echelon form and has the following structure: \[ \left[\begin{array}{lllll|l} 1 & * & * & * & * & * \\ 0 & 1 & * & * & * & * \\ 0 & 0 & 0 & 1 & * & * \\ 0 & 0 & 0 & 0 & 1 & * \end{array}\right] \] where \( * \) denotes any real number. Show more…

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The echelon form of the augmented matrix of a system of linear equations has the following form \[ \left[\begin{array}{lllll|l} 1 & * & * & * & * & * \\ 0 & 1 & * & * & * & * \\ 0 & 0 & 0 & 1 & * & * \\ 0 & 0 & 0 & 0 & 1 & * \end{array}\right], \] where \( \left({ }^{*}\right) \) denotes any real number. What can you say about the number of the solutions of this system?