No, to be equal, two matrices must have the same dimensions, and must have the same values in the same positions.

Matrix Equality

For two matrices to be equal, they must have

In other words, say that A_{n x m} = [a_ij] and that B_{p x q} = [b_ij].

Then A = B if and only if n=p, m=q, and a_ij=b_ij for all i and j in range.

Here are two matrices which are not equal even though they have the same elements.

Here is another pair of matrices.

Are these two matrices equal?