Statement 1: Matrix `3xx3,a_(i j)=(i-j)/(i+2j)` cannot be expressed as a sum of symmetric and skew-symmetric matrix. Statement 2: Matrix `3xx3,a_(i j)=(i-j)/(i+2j)` is neither symmetric nor skew-symmetric

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.

Express the matrix A=[3-41-1] as the sum of a symmetric and a skew-symmetric matrix.

Express the matrix [(2,4,-6),(7,3,5),(1,-2,4)] as a sum of symmetric and a skew - symmetric matrix.

Express the matrix A={:[(2,-3,4),(-1,4,3),(1,-2,3)]:} as the sum of a symmetric and a skew symmetric matrix

Express the matrix B= [{:(,2,-2,),(,-1,3,):}] as the sum of a symmetric and a skew symmetric matrix.

Construct a matrix [a_(ij)]_(3xx3) ,where a_(ij)=(i-j)/(i+j).

Express the matrix A=[{:(2,3),(-1,4):}] as the sum of a symmetric matrix and a skew-symmetric matrix.

If A=[a_(ij)] is a square matrix such that a_(ij)=i^(2)-j^(2), then write whether A is symmetric or skew-symmetric.

Express the matrix B=[2,-2,-4-1,3,41,-2,-3] as the sum of a symmetric and a skew symmetric matrix.

Express the following matrix as the sum of a symmetric and skew symmetric matrix,and [[3,-2,-43,-2,-5-1,1,2]]