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

Problem

[[1,2]]−[[3,−4]]

Solution

1. Identify the operation as matrix subtraction, which requires subtracting corresponding elements from each other.

2. Subtract the first elements in the first column of each matrix.

1−3=−2

3. Subtract the second elements in the second column of each matrix.

2−(−4)=2+4=6

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

[[−2,6]]

Final Answer

[[1,2]]−[[3,−4]]=[[−2,6]]

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