For how many values of x in the interval [-4, -1], the matrix 3−1+x23−1x+2x+3−12  is non singular?

3−1+x23−1x+2x+3−12 R3→R3−R1,R2→R2−R1=x2(x+4)=0x = 0, x = -4Except for x= 0 & 2 given matrix non singular for infinite values of x.