Given the matrices A = (begin{bmatrix} 1 & 3 2 & 4 end{bmatrix}) and B = (begin{bmatrix} 5 & 7 6 & 8 end{bmatrix}), find the result of the operation A + B.

Question

Given the matrices A = (begin{bmatrix} 1 & 3  2 & 4 end{bmatrix}) and B = (begin{bmatrix} 5 & 7  6 & 8 end{bmatrix}), find the result of the operation A + B.

Accepted Answer

Step:1 ：The addition of two matrices is performed element by element. So we need to add the corresponding elements from matrix A and matrix B.Step:2 ：For the first element, we have (1 + 5 = 6)Step:3 ：For the second element, we have (3 + 7 = 10)Step:4 ：For the third element, we have (2 + 6 = 8)Step:5 ：For the fourth element, we have (4 + 8 = 12)Step:6 ：So, the result of the operation A + B is the matrix (begin{bmatrix} 6 & 10  8 & 12 end{bmatrix})

Answer

Step: 1 ：The addition of two matrices is performed element by element. So we need to add the corresponding elements from matrix A and matrix B.Step: 2 ：For the first element, we have (1 + 5 = 6)Step: 3 ：For the second element, we have (3 + 7 = 10)Step: 4 ：For the third element, we have (2 + 6 = 8)Step: 5 ：For the fourth element, we have (4 + 8 = 12)Step: 6 ：So, the result of the operation A + B is the matrix (begin{bmatrix} 6 & 10  8 & 12 end{bmatrix})

Given the matrices A = \(\begin{bmatrix} 1 & 3 \ 2 & 4 \end{bmatrix}\) and B = \(\begin{bmatrix} 5 & 7 \ 6 & 8 \end{bmatrix}\), find the result of the operation A + B.

Answer

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