We are given that,
is singular matrix.
We need to find the value of x.
Let us recall the definition of singular matrix.
A singular matrix is a square matrix that doesn’t have a matrix inverse. A matrix ‘A’ is singular iff its determinant is zero, i.e., |A| = 0.
Hence, we just need to find the determinant of the given matrix and equate it to zero.
Determinant of 2 × 2 matrix is found as,
Now, equate this to 0.
⇒ 3x – 6 = 0
⇒ 3x = 6
⇒ x = 2
Thus, the value of x = 2 for which the matrix is singular.
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