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[[4,-6],[5,9],[-2,1]]+[[5,1,2],[-2,7,-3],[5,7,8]]

[4amp;−65amp;9−2amp;1]+[5amp;1amp;2−2amp;7amp;−35amp;7amp;8] \left[\begin{array}{rr}4 & -6 \\ 5 & 9 \\ -2 & 1\end{array}\right]+\left[\begin{array}{rrr}5 & 1 & 2 \\ -2 & 7 & -3 \\ 5 & 7 & 8\end{array}\right]

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Full solution

Q. [4−659−21]+[512−27−3578] \left[\begin{array}{rr}4 & -6 \\ 5 & 9 \\ -2 & 1\end{array}\right]+\left[\begin{array}{rrr}5 & 1 & 2 \\ -2 & 7 & -3 \\ 5 & 7 & 8\end{array}\right]
  1. Check Dimensions: To add two matrices, we need to add the corresponding elements from each matrix. However, before we start adding, we must ensure that both matrices have the same dimensions. Let's check the dimensions of the given matrices.\newlineMatrix 11: [[4,−6],[5,9],[−2,1]][[4,-6],[5,9],[-2,1]] has 33 rows and 22 columns.\newlineMatrix 22: [[5,1,2],[−2,7,−3],[5,7,8]][[5,1,2],[-2,7,-3],[5,7,8]] has 33 rows and 33 columns.\newlineSince the number of columns in the two matrices is not the same, we cannot add them together.

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