Question

The matrix below represents the solution to a system of equations. Which of the following describes the solution?

1) No solution
2) An infinite number of solutions
3) (-3, 2, -1)
4) (1, 1, 1)

Answer 1

The matrix represents the solution to a system of equations. The solution can be determined by analyzing the matrix: if there are rows of zeros, the system has either no solution or infinitely many solutions. If there are no rows of zeros, the solution can be found in the last column of the matrix, which in this case is (-3, 2, -1).

Step-by-step explanation:

The matrix provided represents the solution to a system of equations. In order to determine the nature of the solution, we need to analyze the matrix. If the matrix contains a row of zeros that corresponds to a non-zero number in the last column, then the system has no solution. If the matrix contains a row of zeros that corresponds to a zero in the last column, then the system has infinitely many solutions. However, if there are no rows of zeros in the matrix, then the solution can be found by reading the last column of the matrix. In this case, the solution is given by the ordered triple (-3, 2, -1), so the correct answer is option 3).