If `A=[[a,c,b],[b,a,c],[c,b,a]]` then the cofactor of `a_(32)` in `A+A^T` is

If A=[[a,c,bb,a,cc,b,a]] then the cofactor of a_(32) in

If A=det[[a,c,bb,a,cc,b,a]], then the cofactor of a_(23) in

A,B,C are cofactors of elements, a,b,c in [[a,b,c],[2,4,7],[-1,0,3]] then the value of (2A+4B+7C) is equal to

If a, b and c are distinct and D = |(a,b,c),(b,c,a),(c,a,b)|. then the square of the determinant of its cofactors is divisible by

If A=[(0,2b,c),(a,b,-c),(a,-b,c)] , then find the value of a, b and c. Such that A^(T)A=I

If a, b, and c are integers, then number of matrices A=[(a,b,c),(b,c,a),(c,a,b)] which are possible such that A A^(T)=I is _______.

If, in D={:[(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3))]:}, the co-factor of a_(r)" is "A_(r), then , c_(1)A_(1)+c_(2)A_(2)+c_(3)A_(3)=

Let A=[a_(ij)]_(3xx3) be a matrix such that A.A^(T)=4I and a_(ij)+2c_(ij)=0 where c_(ij) is the cofactor of a_(ij) AAi & j , I is the unit matrix of order 3 and A^(T) is the transpose of the matrix A If |(a_(11)+4,a_(12), a_(3)),(a_(21),a_(22)+4,a_(24)),(a_(31),a_(32),a_(33)+4)|+5lamda|(a_(11)+1,a_(12),a_(13)),(a_(21),a_(22)+1,a_(23)),(a_(31),a_(32),a_(33)+1)|=0 then lamda=a/b where a and b are coprime positive integers then the value of a+b is______

If |[a+b,b+c,c+a],[c+a,a+b,b+c],[b+c,c+a,a+b]|=t X det of circulant matrix whose whose elemnts of the first column are a,b,c then t equals

[A=[[a,b,c],[b,c,a],[c,a,b]]" ,If trace "(A)=9," and "a,b,c" are "],[" positive integers such that "ab+bc+ca=26." Let "],[A," denote the adjoint of matrix "A_(1),A_(2)" represent "],[" adjoint of "A_(1)...." and so on,if value of "det(A_(4))" is "],[M" then "]