Equality of Matrices

Two matrices A and B are said to be equal if

1. Both the matrices A and B are of the same order or size.
2. The corresponding entries in both the matrices A and B are equal.

The matrices A = [a_ij]_m×n and B = [b_ij]_p×q are equal if

1. m = p, n = q
2. a_ij = b_ij for every i and j