If `A_(ij)` is the co-factor of the element `a_(ij)` of the determinant `{:|(2,-3,5),(6,0,4),(1,5,-7)|`, then write the value of `a_(32),A_(32)`

Find minors and cofactors of the elements of the determinant abs{:(2,-3,5),(6,0,4),(1,5,-7):} and verify a_(11) C_(31) + a_(12) C_(32) + a_(13) C_(33 ) = 0 .

Write the element a_(12) of the matrix A=[a_(ij)]_(2xx2) , whose elements are given by : a_(ij)=e^(2ix) sinjx

If A=[a_(ij)]_(2×3) such that a_(ij)=i+j then a 11=

For a 2xx2 matrix, A = [a_(ij)] , whose elements are given by a_(ij) = i/j, write the value of a_12

If a_(1),a_(2),a_(3),"........" is an arithmetic progression with common difference 1 and a_(1)+a_(2)+a_(3)+"..."+a_(98)=137 , then find the value of a_(2)+a_(4)+a_(6)+"..."+a_(98) .

Write the element a_12 of the matrix A = [a_(ij)]_(2xx2) a_(ij) = e^(2ix) sin jx .

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactros of elements of matrix A_(n -1) , then |A_(n)| equals