Mathematics, 24.04.2021 01:00 mya2019
The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.
1 0 0 −4 0 1 0 9 0 0 0 −3
What equation does the first row represent?
nothing (Type an equation.)
What equation does the second row represent?
nothing (Type an equation.)
What equation does the third row represent?
nothing (Type an equation.)
Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
A.
The system is consistent. The solution is ,,.
(Simplify your answers.)
B.
There are infinitely many solutions. The solution can be written as (x, y,z) | x=, y=, z is any real number.
(Simplify your answers. Type expressions using z as the variable.)
C.
There are infinitely many solutions. The solution can be written as (x, y,z) | x=, y is any real number, z is any real number.
(Simplify your answer. Type an expression using y and z as the variables.)
D.
The system is inconsistent.
Answers: 2
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The reduced row echelon form of a system of linear equations is given. Write the system of equations...
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