Answer: the third option is correct
Explanation:
The first matrix is a 2 × 3 matrix while the second matrix is a 3 × 2 matrix. To get the product of both matrices, we would multiply each term in each row by the terms in the corresponding column and add.
1) row 1, column 1
1×2 + 3×3 + 1×4 = 2 + 9 + 4 = 15
2) row 1, column 2
1×-2 + 3×5 + 1×1 = - 2 + 15 + 1 = 14
3) row 2, column 1
-2×-2 + 1×3 + 0×4 = - 4 + 3 + 0 = - 1
4) row 2, column 2
- 2×-2 + 1×5 + 0×1 = 4 + 5 = 9
The solution becomes
15 14
- 1 9