Add [[1,0],[-8,9]]-[[-24,-32],[24,-40]]

Problem

[[1,0],[−8,9]]−[[−24,−32],[24,−40]]

Solution

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

2. Subtract the elements in the first row: 1 - (-24)a*n*d - (-32)$.

3. Subtract the elements in the second row: −8−24 and 9 - (-40)$.

4. Simplify the arithmetic for each individual entry.

5. Combine the results into a new 2×2 matrix.

Final Answer

[[1,0],[−8,9]]−[[−24,−32],[24,−40]]=[[25,32],[−32,49]]

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