Given A = [[2, 1], [-3, 4]] and B = [[5, -2], [1, 3]], find A + B.

Step 1: Check the matrix dimensions.

Both A and B are 2 × 2 matrices, so they can be added.

Step 2: Recall how matrix addition works.

Add entries that occupy the same position in the two matrices.

A + B = [[2 + 5, 1 + (-2)], [-3 + 1, 4 + 3]]

Step 3: Simplify each entry.

2 + 5 = 7
1 - 2 = -1
-3 + 1 = -2
4 + 3 = 7

Step 4: Write the resulting matrix.

A + B = [[7, -1], [-2, 7]]

Therefore, A + B = [[7, -1], [-2, 7]].