Question

The matrix below represents the solution to a system of equations.

Which of the following describes the solution?

Answer 1

Option C (x = -3, y = 2, and z = -1).

Explanation:

The system has been converted into the reduced row echelon augmented matrix form using the Gauss-Jordan elimination method. Since the matrix is a diagonal matrix, therefore the determinant of the matrix can be obtained by multiplying the diagonal entries of the matrix. It can be seen that the determinant of the matrix is 1*1*1 = 1. Since it is not equal to zero, this means that the system should yield a unique solution. Therefore, Options A and B are incorrect. Converting the system into linear form:

x + 0y + 0z = -3.

0x + y + 0z = 2.

0x + 0y + z = -1.

Hence, x = -3, y = 2, and z = -1. Therefore, Option C is the correct answer!!!