How shift the triangle shape vector from matrix ? continues moving elements wise?

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How shift or move the triangle shape vector by position wise horizontal wis from matrix ?
M=[ 14 0 40 0 66 68 0 94 0 120 0
0 119 11 13 26 39 52 65 93 106 0
0 0 64 0 118 0 12 0 38 0 0
0 0 0 22 24 37 50 63 0 0 0
0 0 0 0 36 49 62 0 0 0 0
0 0 0 0 0 61 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0]

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