Q. 414.0( 3 Votes )

For what value of

Answer :

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,



So,







Now, equate this to 0.


That is,



3x – 6 = 0


3x = 6



x = 2


Thus, the value of x = 2 for which the matrix is singular.


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