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Find the sum.

[[-1,4],[4,3]]+[[3,2],[-2,1]]=

Find the sum.\newline[1amp;44amp;3]+[3amp;22amp;1]= \left[\begin{array}{cc} -1 & 4 \\ 4 & 3 \end{array}\right]+\left[\begin{array}{cc} 3 & 2 \\ -2 & 1 \end{array}\right]=

Full solution

Q. Find the sum.\newline[1443]+[3221]= \left[\begin{array}{cc} -1 & 4 \\ 4 & 3 \end{array}\right]+\left[\begin{array}{cc} 3 & 2 \\ -2 & 1 \end{array}\right]=
  1. Add First Row Elements: Add the corresponding elements of the first row of both matrices.\newlineTo add the matrices, we add the corresponding elements from each matrix. Starting with the first row, we add 1-1 from the first matrix to 33 from the second matrix, and 44 from the first matrix to 22 from the second matrix.\newline1+3=2-1 + 3 = 2 and 4+2=64 + 2 = 6
  2. Add Second Row Elements: Add the corresponding elements of the second row of both matrices.\newlineNow, we move to the second row. We add 44 from the first matrix to 2-2 from the second matrix, and 33 from the first matrix to 11 from the second matrix.\newline4+(2)=24 + (-2) = 2 and 3+1=43 + 1 = 4
  3. Combine Results for Resultant Matrix: Combine the results from Step 11 and Step 22 to form the resultant matrix.\newlineThe sum of the two matrices is a new matrix where each element is the sum of the corresponding elements from the original matrices. From Step 11 and Step 22, we have the new matrix:\newline\left[\begin{array}{cc}\(\newline2 & 6 (\newline\)2 & 4\newline\end{array}\right]\)

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