4731.sagews

L=matrix([[0,1,0.5],[0.9,0,0],[0,0.8,0]]);L

[0.00 1.00 0.50] [0.90 0.00 0.00] [0.00 0.80 0.00]

L^15

[ 2.02 2.49 0.91] [ 1.64 2.02 0.74] [ 1.19 1.46 0.53]

X=matrix([[10000],[15000],[8000]]);X

[10000] [15000] [ 8000]

L^15*X

[64933.8785560000] [52799.0176440000] [38156.2355808000]