Add [[1,0,8],[2,-1,3]]^T-[[3,2],[1,1],[4,5]]

Problem

[[1,0,8],[2,−1,3]]T−[[3,2],[1,1],[4,5]]

Solution

1. Transpose the first matrix by swapping its rows and columns.

[[1,0,8],[2,−1,3]]T=[[1,2],[0,−1],[8,3]]

2. Set up the subtraction between the transposed matrix and the second matrix.

[[1,2],[0,−1],[8,3]]−[[3,2],[1,1],[4,5]]

3. Subtract the corresponding elements of the two matrices.

[[1−3,2−2],[0−1,−1−1],[8−4,3−5]]

4. Simplify the arithmetic for each entry to find the resulting matrix.

[[−2,0],[−1,−2],[4,−2]]

Final Answer

[[1,0,8],[2,−1,3]]T−[[3,2],[1,1],[4,5]]=[[−2,0],[−1,−2],[4,−2]]

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