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

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

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 non-singular matrix of odd order them

If A is a square matrix such that A^(3)=I , then prove that A is non-singular

If A is a non - singular matrix of odd order, prove that |adj A| is positive.

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

The inverse of a diagonal matrix is a. a diagonal matrix b. a skew symmetric matrix c. a symmetric matrix d. none of these

If A and B are two non singular matrices and both are symmetric and commute each other, then

If Aa n dB are square matrices of the same order and A is non-singular, then for a positive integer n ,(A^(-1)B A)^n is equal to A^(-n)B^n A^n b. A^n B^n A^(-n) c. A^(-1)B^n A^ d. n(A^(-1)B^A)^