If `[{:(0,p,3),(2,q^2 , -1),(r, 1,0):}]` is skew-symmetric , find the values of p , q and r

If A_1, A_2, , A_(2n-1)a r en skew-symmetric matrices of same order, then B=sum_(r=1)^n(2r-1)(A^(2r-1))^(2r-1) will be symmetric skew-symmetric neither symmetric nor skew-symmetric data not adequate

If a,b,c are p^(pt),q^(th) and r^(th) terms of an A.P., find the value of |(a,b,c),(p,q,r),(1,1,1)| .

P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection length of vec P Qon vec R Sdot

The vertices of a triangle are (p q ,1/(p q)),(q r ,1/(q r)), and (r q ,1/(r p)), where p ,q and r are the roots of the equation y^3-3y^2+6y+1=0 . The coordinates of its centroid are (1,2) (b) 2,-1) (1,-1) (d) 2,3)

For what value of x, the matrix A=[(0,1,-2),(-1,0,x^(3)),(2,-3,0)] is skew- symmetric .

" if " a_(a) ,a_(2), a_(3)….." are in A.P, then find the value of the following determinant:" |{:(a_(p)+a_(p+m) +a_(p+2m),,2a_(p)+3a_(p+m)+4a_(p+2m),,4a_(p)+9a_(p+m)+16a_(p+2m)),(a_(p)+a_(q+m)+a_(q+2m),,2a_(q)+3a_(q+m) +4a_(q+2m),,4a_(q)+9a_(q+m)+16a_(q+2m)),(a_(r)+a_(r+m)+a_(r+2m),,2a_(r)+3a_(r+m)+4a_(r+2m),,4a_(r) +9a_(r+m)+16a_(r+2m)):}|

Given A=[(p, 0), (0, 2)], B=[(0, q), (1, 0)], C=[(2, -2), (2, 2)] and If BA=C^(2) , find p and q.