Determine if Linear x-[[1,-1,0],[0,1,1]]=[[2,2,2],[8,3,4]]

Problem

X−[[1,−1,0],[0,1,1]]=[[2,2,2],[8,3,4]]

Solution

1. Identify the matrix equation as a linear equation of the form X−A=B where X is the unknown matrix.

2. Isolate the matrix X by adding the matrix A to both sides of the equation.

3. Perform matrix addition by adding the corresponding entries of the two matrices on the right side.

4. Calculate the sum for each position:
   2 + 1 = 3 + (-1) = 1 + 0 = 2 + 0 = 8 + 1 = 4 + 1 = 5$

Final Answer

X=[[3,1,2],[8,4,5]]

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