If matrix `A=[a_(ij)]_(3xx)`, matrix `B=[b_(ij)]_(3xx3)`, where `a_(ij)+a_(ji)=0` and `b_(ij)-b_(ji)=0 AA i`, `j`, then `A^(4)*B^(3)` is

A matrix A=[a_(ij)]_(mxxn) is

(Statement1 Assertion and Statement- 2 (Reason) Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. Statement - 1 If matrix A= [a_(ij)] _(3xx3) , B= [b_(ij)] _(3xx3), where a_(ij) + a_(ji) = 0 and b_(ij) - b_(ji) = 0 then A^(4) B^(5) is non-singular matrix. Statement-2 If A is non-singular matrix, then abs(A) ne 0 .

Construct a matrix [a_(ij)]_(3xx3) , where a_(ij)=2i-3j .

Construct a matrix [a_(ij)]_(3xx3) ,where a_(ij)=(i-j)/(i+j).

A=[a_(ij)]_(mxxn) is a square matrix, if

If matrix A=[a_(ij)]_(2x2), where a_(ij)={{:(1"," , i ne j),(0",", i=j):} then A^(3) is equal to

if A=[a_(ij)]_(2*2) where a_(ij)={i+j , i!=j and i^2-2j ,i=j} then A^-1 is equal to

If A=[a_(ij)]_(2xx2) where a_(ij)={{:(1",",if, I ne j),(0",", if,i=j):} then A^(2) is equal to

If matrix A=[a_(ij)]_(2X2) , where a_(ij)={[1,i!=j],[0,i=j]}, then A^2 is equal to

If matrix A=[a_(ij)]_(2X2) , where a_(ij)={[1,i!=j],[0,i=j]}, then A^2 is equal to