If `C` is skew-symmetric matrix of order `na n dXi snxx1` column matrix, then `X^T C X` is a. singular b. non-singular c. invertible d. non invertible

If A is a skew symmetric matrix of order n and C is a column matrix of order nxx1 ,then C^(T)AC is

If A is a singular matrix, then adj A is a. singular b. non singular c. symmetric d. not defined

Ifr A is a skew symmetrix matrix of order 3 and B is column matrix of order 3xx1 then B^(T)AB is

If A is a non-singular matrix of odd order them

A skew-symmetric matrix A satisfies the relation A^2+I=O ,w h e r e I is a unit matrix then A is a. idempotent b. orthogonal c. of even order d. odd order

If A is a non-singular matrix then |A^(-1)| =

If A is non-diagonal involuntary matrix, then A=I=O b. A+I=O c. A=I is nonzero singular d. none of these

If A is a non-singular matrix of order nxxn such that 3ABA^(-1)+A=2A^(-1)BA , then

If Aa n dB are symmetric matrices of the same order and X=A B+B Aa n dY=A B-B A ,t h e n(X Y)^T is equal to X Y b. Y X c. -Y X d. none of these