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?

Answer

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Answer

Step 3: Place the sums in their corresponding positions in the new matrix. The new matrix is \(\begin{bmatrix} 3 & 5 \\ 7 & 9 \end{bmatrix}\).

Steps

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 \(\begin{bmatrix} 3 & 5 \\ 7 & 9 \end{bmatrix}\).

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