The given matrix has no solution.
What is the system of equations?
system of equations, or simultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns. Even then a solution is not guaranteed.
According to the question, the matrix is:
[tex]\left[\begin{array}{ccc}1&-5&-4\\0&0&7\\ \end{array}\right][/tex]
The linear equation will be:
x - 5y = -4
and
0x + 0y = 7
i.e,
0 = 7 (Not possible)
Hence, the above given matrix has no solution.
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