Show that the following matrices are skew symmetric: `[[0,e,f],[-e,0,g],[-f,-f,0]]`

Show that the following matrices are skew symmetric: [[0,1,-1],[-1,0,1],[1,-1,0]]

The number of 3xx3 matrices with entries from the set {-1,0,1} such that the matrices symmetric nor skew symmetric is

Consider the matrix A=[{:(0,-h,-g),(h,0,-f),(g,f, 0):}] STATEMENT-1 : Det A = 0 STATEMENT-2 :The value of the determinant of a skew symmetric matrix of odd order is always zero.

If A={:[(a,2,3),(b,c,4),(d,e,f)]:} is skew symmetric matrix, then find a,b,c,d,e,f.

If F_g and F_e are gravitational and electrostatic forces between two electrons at a distance 0.1m then F_g//F_e is in the order of

If f(x) is a twice differentiable function such that f(a)=0,f(b)=2,f(c)=-1,f(d)=2,f(e)=0 where a

Consider the function f(x) and g(x) such that f(x)=(x^(2))/(2)+1-x+int g(x)dx Range of the function f(x) is [0,(2)/(e^(2))] (b) [0,(4)/(e^(2))][0,(4)/(e)] (d) (0,e^(2))

If f^(prime)x=g(x)(x-a)^2,w h e r eg(a)!=0,a n dg is continuous at x=a , then f is increasing in the neighbourhood of a if g(a)>0 f is increasing in the neighbourhood of a if g(a) 0 f is decreasing in the neighbourhood of a if g(a)<0