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Given matrices S = [[1, 2, 3], [4, 5, 6]] and Q = [[-1, 4], [0, 1], [2, 7]], compute S + Q^T.
Mathematics
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Step-by-step solution
4 stepsIdentify the given matrices and .
Compute the transpose of matrix , denoted as .
To find the transpose, swap the rows and columns of .
The first row of becomes the first column of .
The second row of becomes the second column of .
The third row of becomes the third column of .Compute the sum .
To add matrices, add their corresponding elements. Both and are matrices, so they can be added.
Compare the result with the given options.
The calculated matrix is . This matches option A.
The final answer is .
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