Answer:
A. 0
Explanation:
The coefficient matrix of the system is gotten by using the coefficients of the variables x, y and z in each set of the system of equation to form a 3×3 matrix as shown in the attachment.
Then we find the determinant of the resulting matrix as shown.
Let A be the equivalent coefficient matrix and let |A| represents its determinant.
|A| = 0
Note that according one of the law of determinant, if all the values in any of the row or column of a matrix are zeros, then the determinant of such matrix is also zero.
According to the matrix shown, it is seen that all the values in the second column are all zeros i.e all coefficient of y variables are all zeros, therefore the determinant of the matrix is zero i.e
|A| = 0