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Find the sum.

[[-1,-2],[-2,-1]]+[[1,0],[2,-1]]=

Find the sum.\newline[1amp;22amp;1]+[1amp;02amp;1]= \left[\begin{array}{cc} -1 & -2 \\ -2 & -1 \end{array}\right]+\left[\begin{array}{cc} 1 & 0 \\ 2 & -1 \end{array}\right]=

Full solution

Q. Find the sum.\newline[1221]+[1021]= \left[\begin{array}{cc} -1 & -2 \\ -2 & -1 \end{array}\right]+\left[\begin{array}{cc} 1 & 0 \\ 2 & -1 \end{array}\right]=
  1. Identify Elements to Add: Identify the corresponding elements in each matrix that need to be added together.\newlineTo add two matrices, we add the corresponding elements from each matrix. This means we will add the elements in the same position in each matrix.
  2. Add First Row Elements: Add the corresponding elements from the first row of both matrices.\newlineThe first row of the first matrix is [1,2][-1, -2], and the first row of the second matrix is [1,0][1, 0]. Adding these gives us:\newline(1+1)=0(-1 + 1) = 0 and (2+0)=2(-2 + 0) = -2.\newlineSo, the first row of the resulting matrix is [0,2][0, -2].
  3. Add Second Row Elements: Add the corresponding elements from the second row of both matrices.\newlineThe second row of the first matrix is [2,1][-2, -1], and the second row of the second matrix is [2,1][2, -1]. Adding these gives us:\newline(2+2)=0(-2 + 2) = 0 and (1+(1))=2(-1 + (-1)) = -2.\newlineSo, the second row of the resulting matrix is [0,2][0, -2].
  4. Combine Results for Final Matrix: Combine the results from Step 22 and Step 33 to form the final matrix.\newlineThe resulting matrix after adding the corresponding elements from both matrices is:\newline[0amp;2 0amp;2]\begin{bmatrix} 0 & -2 \ 0 & -2 \end{bmatrix}.

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