Problem 60759. Sum along each diagonal of a matrix

Matt J

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Write a routine that returns the sums along the diagonals of a given matrix, A, where the first diagonal is the bottom left corner of the matrix and the final diagonal is the top right corner. For example if,
A =
     7     9     4     5     7     5    10    10
     6     2    10     2     8     6     8     6
     3     3     5     3     3     1     5     6
     4     2     2     5     2     3     6     3
     5     3    10     6     3     9     3     5
     3     5    10     3     4     1     5     7
the desired output will be,
y =
     3
    10
    17
    18
    21
    23
    38
    22
    25
    21
    19
    16
    10