[MOVED] Matrices: system has ?? soln(s).

[stephnj1]

The following matrix is a reduced augmented matrix obtained from a system of equations. The system has __ solution(s).

[1 0 3-5: 7]
[0 1-2 0: 4]
[0 0 0 0: 0]
[0 0 0 0: 0]

a. one
b. two
c. infinite
d. no

 

[pka]

Is \(\displaystyle \
\left[ {\begin{array}{r}
0 \\
2 \\
{ - 1} \\
{ - 2} \\
\end{array}} \right]\) a solution?

Are there others?

 

[george22]

it would be infinite solutions because your bottom 2 rows are 0=0 and your first two rows will depend on the values of the any variable to obtain the independent values. Did the question give you variables for the solutions (ex. x,y,z). You would be looking at 4 different variables. I could better help you if you sent me those variables.

 

[stephnj1]

No. the question did not have variables.

 

[pka]

No. the question did not have variables.

To whom are you addressing that statement.

Your first post asks "The system has __ solution(s)."

Consider for each a
\(\displaystyle \
\left[ {\begin{array}{c}
{5a + 4} \\
6 \\
1 \\
a \\
\end{array}} \right]\) is a solution.
So there are infinitely many solutions.