Subtract the Matrices [[1,2]][[3,-4]]

Problem

[[1,2]]−[[3,−4]]

Solution

1. Identify the dimensions of the matrices to ensure they are the same. Both are 1×2 row matrices, so subtraction is defined.

2. Subtract the corresponding elements in the first position of each matrix.

1−3=−2

3. Subtract the corresponding elements in the second position of each matrix.

2−(−4)=2+4=6

4. Combine the results into a new matrix of the same dimensions.

Final Answer

[[1,2]]−[[3,−4]]=[[−2,6]]

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