Problem
If matrix A = \(\begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}\) and matrix B = \(\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}\), what is A + B?
Solution
Step 1 ：Step 1: Identify the corresponding elements in the two matrices. In this case, the corresponding elements are (2,1), (3,2), (4,3), and (5,4).
Step 2 ：Step 2: Add the corresponding elements together. The sums are 2+1=3, 3+2=5, 4+3=7, and 5+4=9.
Step 3 ：Step 3: Place the sums in their corresponding positions in the new matrix. The new matrix is \(\begin{bmatrix} 3 & 5 \\ 7 & 9 \end{bmatrix}\).
