Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Matrix Representation of Linear Transformations
The determinant \(\left|\begin{array}{ccc} 1 & 1+x & 1+x+x^2 \\ 1 & 1+y & 1+y+y^2 \\ 1 & 1+z & 1+z+z^2 \end{array}\right|\) is equal to
1
(z - y)(z - x)(y - x)
2
(x - y)(x - z)(y - z)
3
(x - y)2(y - z)2(z - x)2
4
(x2 - y2)(y2 - z2)(z2 - x2)