Final answer:
The matrix is singular when x = 629.
Step-by-step explanation:
A matrix is singular if its determinant is equal to zero. In this case, the matrix is:
-27 -10
10 27
To find the determinant of a 2x2 matrix, we use the formula:
Determinant = (a*d) - (b*c)
where a, b, c, and d are the elements of the matrix. Substituting the values from the given matrix, we get:
Determinant = (-27*27) - (-10*10) = 729 - 100 = 629
Therefore, the matrix is singular when x = 629.