Problem 1972. Convert matrix to 3D array of triangular matrices
Given a 2D numeric array x in which each column represents the vectorized form of an upper triangular matrix, return a 3D array y containing the concatenated triangular matrices.
- If the size of the input matrix x is MxN, then the size of the output matrix y is PxPxN, where M = sum(1:P)
- You may assume that P<=100
Example
If
x = 1 7 13
2 8 14
3 9 15
4 10 16
5 11 17
6 12 18
then
y(:,:,1) = 1 2 4
0 3 5
0 0 6
y(:,:,2) = 7 8 10
0 9 11
0 0 12
y(:,:,3) = 13 14 16
0 15 17
0 0 18
NOTE: If you are wondering why this seems like a strange task, it is inspired by a genotype->phenotype mapping I am doing in a genetic algorithm.
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