Given that the following matrix is singular:  The value of x is:

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Concept:

A matrix is singular if its determinant is zero. So, we compute the determinant of the given 3×3 matrix and set it equal to 0.

Calculation:

Apply the determinant formula:

Set determinant = 0 (since the matrix is singular):

⇒ -48 + 48 x = 0

⇒ x =1

 

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