The value of the determinant `|[1,2,4],[1,3,6],[1,4,9]|` is (A) `1,` (B) `-1` (C) `0,` (D) `2`

Find the value of the determinant |{:(1,2,4),(3,4,9),(2,-1,6):}|

The value of the determinant |(1+a, 1, 1),(1, 1+a, 1),(1, 1, 1+a)| is zero if (A) a=-3 (B) a=0 (C) a=2 (D) a=1

If the adjoint of a 3x3 matrix P is (1 4 4) (2 1 7) (1 1 3) , then the possible value(s) of the determinant of P is (are) (A) -2 (B) -1 (C) 1 (D) 2

Find the value of the determinant |[1, 1, 1, 1],[ 1, 2, 3, 4],[ 1, 3, 6, 10 ],[1 ,4 ,10 ,20]|

Calculate the value of the determinant |{:(1,1,1,1),(1,2,3,4),(1,3,6,10),(1,4,10,20):}|

If a,b,c and d are the roots of the equation x^(4)+2x^(3)+4x^(2)+8x+16=0 the value of the determinant |{:(1+a,1,1,1),(1,1+b,1,1),(1,1,1+c,1),(1,1,1,1+d):}| is

Let omega=-1/2+i(sqrt(3))/2, then value of the determinant [[1, 1, 1],[ 1,-1-omega^2,-omega^2],[1, omega^2,omega^4]] is (a) 3omega (b) 3omega(omega-1) (c) 3omega^2 (d) 3omega(1-omega)

Let omega=-1/2+i(sqrt(3))/2 . Then the value of the determinant |(1,1,1),(1,-1-omega^2,omega^2),(1,omega^2,omega^4)| is (A) 3omega (B) 3omega(omega-1) (C) 3omega^2 (D) 3omega(1-omega)

let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d)),1/( (a + d) (a +2d))],[1/(a+ d),1/( (a+ d) (a + 2d)), 1/((a+2d) (a + 3d))],[1/(a +2d), 1/((a + 2d) (a +3d)), 1/((a+3d) (a + 4d))]|

If the rank of the matrix [[-1,2,5],[2,-4,a-4],[1,-2,a+1]] is 1 then the value of a is (A) -1 (B) 2 (C) -6 (D) 4