Simplify the Matrix

Problem

[[11,3,20,18.5],[14,2,15,23.5],[6,3,13,16.2],[0,2,31,13.3],[5,4,10,15.5]]+[[8,1,10,15],[7,2,10,16],[5,2,7,12],[1,2,19,11],[4,2,16,13]]+[[4,6,11,13.3],[12,6,4,17.1],[0,0,0,0],[0,8,10,8.4],[2,3,7,12.8]]+[[1,5,5,12.4],[8,6,3,17.4],[1,8,5,11.7],[0,5,8,9.2],[1,5,3,9.5]]+[[8,8,12,15],[4,7,15,12.9],[5,8,10,10.8],[0,7,18,10],[8,7,8,12.6]]

Solution

1. Identify the operation as matrix addition, which requires adding corresponding elements from each matrix.

2. Sum the first column elements: 11 + 8 + 4 + 1 + 8 = 32,4 + 7 + 12 + 8 + 4 = 45, + 5 + 0 + 1 + 5 = 17, + 1 + 0 + 0 + 0 = 1,a*n*d + 4 + 2 + 1 + 8 = 20$.

3. Sum the second column elements: 3 + 1 + 6 + 5 + 8 = 23, + 2 + 6 + 6 + 7 = 23, + 2 + 0 + 8 + 8 = 21, + 2 + 8 + 5 + 7 = 24,a*n*d + 2 + 3 + 5 + 7 = 21$.

4. Sum the third column elements: 20 + 10 + 11 + 5 + 12 = 58,5 + 10 + 4 + 3 + 15 = 47,3 + 7 + 0 + 5 + 10 = 35,1 + 19 + 10 + 8 + 18 = 86,a*n*d0 + 16 + 7 + 3 + 8 = 44$.

5. Sum the fourth column elements: 18.5 + 15 + 13.3 + 12.4 + 15 = 74.2,3.5 + 16 + 17.1 + 17.4 + 12.9 = 86.9,6.2 + 12 + 0 + 11.7 + 10.8 = 50.7,3.3 + 11 + 8.4 + 9.2 + 10 = 51.9,a*n*d5.5 + 13 + 12.8 + 9.5 + 12.6 = 63.4$.

Final Answer

[[11,3,20,18.5],[14,2,15,23.5],[6,3,13,16.2],[0,2,31,13.3],[5,4,10,15.5]]+[[8,1,10,15],[7,2,10,16],[5,2,7,12],[1,2,19,11],[4,2,16,13]]+[[4,6,11,13.3],[12,6,4,17.1],[0,0,0,0],[0,8,10,8.4],[2,3,7,12.8]]+[[1,5,5,12.4],[8,6,3,17.4],[1,8,5,11.7],[0,5,8,9.2],[1,5,3,9.5]]+[[8,8,12,15],[4,7,15,12.9],[5,8,10,10.8],[0,7,18,10],[8,7,8,12.6]]=[[32,23,58,74.2],[45,23,47,86.9],[17,21,35,50.7],[1,24,86,51.9],[20,21,44,63.4]]

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