The value of `|(-1,6,-2),(2,1,1),(4,1,-3)|` is

4.If x+(1)/(x)=sqrt(3) ,then the value of x^(6)-(1)/(x^(6))+2 is:

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

Let alpha,beta "and " gamma are three distinct roots of |{:(x-1,-6,2),(-6,x-2,-4),(2,-4,x-6):}| =0 the value of ((1)/(alpha)+(1)/(beta)+(1)/(gamma))^(-1) is

The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are equal to-

The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equal to (A) pi/3 (B) pi/4 (C) pi/2 (D) pi/6

Find the inverse of the following matrices if exist : (i) |{:(5,-3),(2,2):}| (ii) |{:(1,-3),(-1,2):}| (iii) |{:(1,0,-1),(3,4,5),(0,-6,-7):}| (iv) |{:(1,-3,3),(2,2,-4),(2,0,2):}| (v) |{:(1,2,1),(1,-1,-2),(1,2,-1):}| (vi) |{:(4,-2,-1),(1,1,-1),(-1,2,4):}|

If {[(5,1,4),(7,6,2),(1,3,5)][(1,6,-7),(6,2,4),(-7,4,3)][(5,7,1),(1,6,3),(4,2,5)]}^(2020)=[(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))] , then the value of 2|a_(2)-b_(1)|+3|a_(3)-c_(1)|+4|b_(3)-c_(2)| is equal to

the value of 2/(1!)+ (2+4)/(2!) + (2+4+6)/(3!) +.................. is

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

Find the value of 4cos[cos^(-1)((1)/(4)(sqrt(6)-sqrt(2)))-cos^(-1)((1)/(4)(sqrt(6)+sqrt(2)))] .