Subtract the Matrices

Problem

[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]−[[−1,2,0,1],[1,2,1,1],[0,1,1,−1],[0,0,1,2]]

Solution

1. Identify the corresponding elements in each matrix to be subtracted.

2. Subtract the elements in the first row: 1 - (-1) = 2, - 2 = -2, - 0 = 0,a*n*d - 1 = -1$.

3. Subtract the elements in the second row: 0 - 1 = -1, - 2 = -1, - 1 = -1,a*n*d - 1 = -1$.

4. Subtract the elements in the third row: 0 - 0 = 0, - 1 = -1, - 1 = 0,a*n*d - (-1) = 1$.

5. Subtract the elements in the fourth row: 0 - 0 = 0, - 0 = 0, - 1 = -1,a*n*d - 2 = -1$.

6. Assemble the resulting values into a new 4×4 matrix.

Final Answer

[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]−[[−1,2,0,1],[1,2,1,1],[0,1,1,−1],[0,0,1,2]]=[[2,−2,0,−1],[−1,−1,−1,−1],[0,−1,0,1],[0,0,−1,−1]]

Want more problems? Check here!