Let `A=[a_("ij")]` be a matrix of order 2 where `a_("ij") in {-1, 0, 1}` and adj. `A=-A`. If det. `(A)=-1`, then the number of such matrices is ______ .

If A = [a_(ij)] is a skew-symmetric matrix of order n, then a_(ij)=

If A = [a_(ij)] is a skew-symmetric matrix of order n, then a_(ij)=

Construct a matrix [a_(ij)] of order 2xx2 where a_(ij)=i+2j .

Let A=[a_(ij)]_(mxxn) be a matrix such that a_(ij)=1 for all I,j. Then ,

Let A=a_("ij") be a matrix of order 3, where a_("ij")={(x,,"if "i = j","x in R,),(1,,"if "|i-j|=1,,", then which of the following"),(0,,"otherwise",):} hold (s) good :

Let A=a_("ij") be a matrix of order 3, where a_("ij")={(x,,"if "i = j","x in R,),(1,,"if "|i-j|=1,,", then which of the following"),(0,,"otherwise",):} hold (s) good :

Let A=[a_(ij)] be a square matrix of order n such that {:a_(ij)={(0," if i ne j),(i,if i=j):} Statement -2 : The inverse of A is the matrix B=[b_(ij)] such that {:b_(ij)={(0," if i ne j),(1/i,if i=j):} Statement -2 : The inverse of a diagonal matrix is a scalar matrix.

Let A=[a_(ij)] be a square matrix of order n such that {:a_(ij)={(0," if i ne j),(i,if i=j):} Statement -2 : The inverse of A is the matrix B=[b_(ij)] such that {:b_(ij)={(0," if i ne j),(1/i,if i=j):} Statement -2 : The inverse of a diagonal matrix is a scalar matrix.

If A = [a_(ij)] is a square matrix of order 2 such that a_(ij) ={(1," when "i ne j),(0," when "i =j):} , then A^(2) is: