If matrix `A = [a_ij]_3 xx 2` and `a_ij = ( 3i - 2j )^2`, then find matrix A.

Consider a 2xx2 matrix A = [a_(ij)] , where a_(ij) = ((i+2j)^2)/2 . Find A + A'.

A 2xx2 matrix A = [a_(ij)] , where a_(ij) = (i+j)^2 is

Statement-1 (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 A=[a_(ij)] be a matrix of order 3xx3 where a_(ij) = (i-j)/(i+2j) cannot be expressed as a sum of symmetric and skew-symmetric matrix. Statement-2 Matrix A= [a_(ij)] _(nxxn),a_(ij) = (i-j)/(i+2j) is neither symmetric nor skew-symmetric.

(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 = [a_(ij)]_(3xx4) whose entries are given by a_(ij) = (I - j)/(I + j)

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

If A= [a_ij]_m x n is a square matrix, if :

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

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