Which of the following statement is/are correct? (A) A square matrix A = [a_ij] is called a symmetric matrix if a_ij = a_ji for all i, j (B) A =…

Which of the following statement is/are correct?

(A) A square matrix $A = [a_{ij}]$A=[aij​] is called a symmetric matrix if $a_{ij} = a_{ji}$aij​=aji​ for all $i, j$i,j

(B) $A = [a_{ij}]_{m \times m}$A=[aij​]m×m​ is a diagonal matrix if $a_{ij} = 0$aij​=0 when $i = j$i=j

(C) A square matrix $A = [a_{ij}]$A=[aij​] is called a skew symmetric matrix, if $a_{ij} = -a_{ji}$aij​=−aji​ for all $i, j$i,j

(D) The multiplication of diagonal matrices of same order is commutative

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