If Matrix A is (begin{bmatrix}2 & 3 4 & 5 6 & 7end{bmatrix}) and Matrix B is (begin{bmatrix}1 & 2 3 & 4 5 & 6end{bmatrix}), what is A + B?

Question

If Matrix A is (begin{bmatrix}2 & 3  4 & 5  6 & 7end{bmatrix}) and Matrix B is (begin{bmatrix}1 & 2  3 & 4  5 & 6end{bmatrix}), what is A + B?

Accepted Answer

Step:1 ：Firstly, let&#x27;s add the corresponding elements of the two matrices. The elements of the resulting matrix C are given by C[i,j] = A[i,j] + B[i,j].Step:2 ：So, the first element C[1,1] is A[1,1] + B[1,1] = 2 + 1 = 3.Step:3 ：The second element C[1,2] is A[1,2] + B[1,2] = 3 + 2 = 5.Step:4 ：The third element C[2,1] is A[2,1] + B[2,1] = 4 + 3 = 7.Step:5 ：The fourth element C[2,2] is A[2,2] + B[2,2] = 5 + 4 = 9.Step:6 ：The fifth element C[3,1] is A[3,1] + B[3,1] = 6 + 5 = 11.Step:7 ：The sixth element C[3,2] is A[3,2] + B[3,2] = 7 + 6 = 13.

Answer

Step: 1 ：Firstly, let&#x27;s add the corresponding elements of the two matrices. The elements of the resulting matrix C are given by C[i,j] = A[i,j] + B[i,j].Step: 2 ：So, the first element C[1,1] is A[1,1] + B[1,1] = 2 + 1 = 3.Step: 3 ：The second element C[1,2] is A[1,2] + B[1,2] = 3 + 2 = 5.Step: 4 ：The third element C[2,1] is A[2,1] + B[2,1] = 4 + 3 = 7.Step: 5 ：The fourth element C[2,2] is A[2,2] + B[2,2] = 5 + 4 = 9.Step: 6 ：The fifth element C[3,1] is A[3,1] + B[3,1] = 6 + 5 = 11.Step: 7 ：The sixth element C[3,2] is A[3,2] + B[3,2] = 7 + 6 = 13.

If Matrix A is \(\begin{bmatrix}2 & 3\ \ 4 & 5\ \ 6 & 7\end{bmatrix}\) and Matrix B is \(\begin{bmatrix}1 & 2\ \ 3 & 4\ \ 5 & 6\end{bmatrix}\), what is A + B?

Answer

Popular Problems