Question
Solve for the unknowns given that the following is a singular matrix (1 2)
x x-3
x x-3
Answers
GPT 3.5
In order for a matrix to be singular, its determinant must be zero.
The determinant of the given matrix is:
(1 * (x-3)) - (2 * x)
= x - 3 - 2x
= -x - 3
To make the matrix singular, we set the determinant equal to zero and solve for x:
-x - 3 = 0
-x = 3
x = -3
Therefore, the unknown x is equal to -3 when the given matrix is singular.
The determinant of the given matrix is:
(1 * (x-3)) - (2 * x)
= x - 3 - 2x
= -x - 3
To make the matrix singular, we set the determinant equal to zero and solve for x:
-x - 3 = 0
-x = 3
x = -3
Therefore, the unknown x is equal to -3 when the given matrix is singular.