Equality of matrices

Two matrices

A is an m × n matrix [a_ij]

B is an r × s matrix [b_ij]

A and B are equal if

i. m= r (number of rows are same)
ii. n = s (number of columns are same)
iii. a_ij = b_ij for I =1,2,…,m abd j = 1,2,…,n