Q25 of 307 Page 6

If is expressed as the sum of a symmetric and skew-symmetric matrix, then the symmetric matrix is

As, sum is expressed as

{Newly formed Symmetric Matrix}

Option (A) is the answer.

If A = [a_ij] is a square matrix of even order such that a_ij = i² – j², then

If , then A^T + A = I₂, if

Out of the following matrices, choose that matrix which is a scalar matrix:

The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is