Name the square matrix A = `[a_(ij)]` in which `a_(ij) = 0, I ne J`.

Construct a 2 x 3 matrix A = [a_(ij)] for which a_(ij) = i + j

Construct a 2 x 3 matrix A = [a_(ij)]_(2 xx 3) for which a_(ij) = 2 i + j

Construct a 2 xx 3 matrix A = [a_(ij)]_(2 xx 3) for which a_(ij) = i - j

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

Construct a 2 xx 3 matrix A = [a_(if)] for which a_(ij) = i/j

Construct a 2 xx 3 matrix A = [a_(ij)]_(2 xx 3) for which a_(ij) = ij

the square matrix A=[a_(ij)]_mxxm given by a_(ij)=(i-j)^(n), show that A is symmetic and skew-sysmmetic matrices according as n is even or odd, repectively.

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

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 The determinant fo a matrix A= [a_(ij)] _(nxxn), where a_(ij) + a_(ji) = 0 for all i and j is zero. Statement- 2 The determinant of a skew-symmetric matrix of odd order is zero.

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