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Question: Matrix and inverse matrix

Question:Matrix and inverse matrix

san 15 Maple 18
matrix inverse
August 13 2016
1

Hello all  

I try to make matrix of size 21*21 but maple doen't run , I don't Know why ?

Also I want to comput the inverse but I get the same problem.

Do you have any idea .

Thank you

> 

with(LinearAlgebra[Generic]):
> 

Q[`0`], Q[`1`], Q[`+`], Q[`-`], Q[`*`], Q[`/`], Q[`=`] := 0, 1, `+`, `-`, `*`, `/`, `=`

0, 1, `+`, `-`, `*`, `/`, `=`

 (1)

v1 := Matrix*(21, 21, [1, -20, 190, -1140, 4845, -15504, 38760, -77520, 125970, -167960, 184756, -167960, 125970, -77520, 38760, -15504, 4845, -1140, 190, -20, 1, 0, 20, -380, 3420, -19380, 77520, -232560, 542640, -1007760, 1511640, -1847560, 1847560, -1511640, 1007760, -542640, 233560, -77520, 19380, -3420, 380, -20, 0, 0, 190, -3420, 29070, -155040, 581400, -1627920, 3527160, -6046560, 8314020, -9237800, 8314020, -6046560, 3527160, -1627920, 581400, -155040, 29070, -3420, 190, 0, 0, 0, 1140, -1930, 155040, -775200, 2713200, -7054320, 14108640, -22170720, 27713400, -27713400, 22170720, -14108640, 7054320, -2713200, 775200, -155040, 19380, -1140, 0, 0, 0, 0, 4845, -77520, 581400, -2713200, 8817900, -21162960, 38798760, -55426800, 62355150, -55426800, 38798760, -21162960, 8817900, -2713200, 581400, -77520, 4845, 0, 0, 0, 0, 0, 15504, -232560, 1627920, -7054320, 21162960, -46558512, 77597520, -99768240, 99768240, -77597520, 46558512, -21162960, 7054320, -1627920, 232560, -15504, 0, 0, 0, 0, 0, 0, 38760, -542640, 3527160, -14108640, 38798760, -77597520, 116396280, -133024320, 116396280, -77597520, 38798760, -14108640, 3527160, -542640, 38760, 0, 0, 0, 0, 0, 0, 0, 77520, -1007760, 6046560, -22170720, 55426800, -99768240, 133024320, -133024320, 99768240, -55426800, 22170720, -6046560, 1007760, -77520, 0, 0, 0, 0, 0, 0, 0, 0, 125960, -1511640, 8314020, -27713400, 62355150, -99768240, 116396280, -99768240, 62355150, -27713400, 8314020, -1511640, 125970, 0, 0, 0, 0, 0, 0, 0, 0, 0, 167970, -1847560, 9237800, -27713400, 55426800, -77597520, 77597520, -5542600, 27713400, -9237800, 184560, -167960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184756, -1847560, 8314020, -22170720, 38798760, -46558512, 38798760, -22170720, 8314020, -1847560, 184756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 167960, -1511640, 6046560, -14108640, 21162960, -21162960, 14108640, -6046560, 1511640, -167960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 125970, -1007760, 3527160, -7054320, 8817900, -7054320, 3527160, -1007760, 125970, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77520, -542640, 1627920, -2713200, 2713200, -1627920, 542640, -77520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38760, -232560, 581400, -775200, 581400, -232560, 38760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15504, -77520, 155040, -155040, 77520, -15504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4845, -19380, 29070, -19380, 4845, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1140, -3420, 3420, -1140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 190, -380, 190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1])

Matrix*(21, 21, [1, -20, 190, -1140, 4845, -15504, 38760, -77520, 125970, -167960, 184756, -167960, 125970, -77520, 38760, -15504, 4845, -1140, 190, -20, 1, 0, 20, -380, 3420, -19380, 77520, -232560, 542640, -1007760, 1511640, -1847560, 1847560, -1511640, 1007760, -542640, 233560, -77520, 19380, -3420, 380, -20, 0, 0, 190, -3420, 29070, -155040, 581400, -1627920, 3527160, -6046560, 8314020, -9237800, 8314020, -6046560, 3527160, -1627920, 581400, -155040, 29070, -3420, 190, 0, 0, 0, 1140, -1930, 155040, -775200, 2713200, -7054320, 14108640, -22170720, 27713400, -27713400, 22170720, -14108640, 7054320, -2713200, 775200, -155040, 19380, -1140, 0, 0, 0, 0, 4845, -77520, 581400, -2713200, 8817900, -21162960, 38798760, -55426800, 62355150, -55426800, 38798760, -21162960, 8817900, -2713200, 581400, -77520, 4845, 0, 0, 0, 0, 0, 15504, -232560, 1627920, -7054320, 21162960, -46558512, 77597520, -99768240, 99768240, -77597520, 46558512, -21162960, 7054320, -1627920, 232560, -15504, 0, 0, 0, 0, 0, 0, 38760, -542640, 3527160, -14108640, 38798760, -77597520, 116396280, -133024320, 116396280, -77597520, 38798760, -14108640, 3527160, -542640, 38760, 0, 0, 0, 0, 0, 0, 0, 77520, -1007760, 6046560, -22170720, 55426800, -99768240, 133024320, -133024320, 99768240, -55426800, 22170720, -6046560, 1007760, -77520, 0, 0, 0, 0, 0, 0, 0, 0, 125960, -1511640, 8314020, -27713400, 62355150, -99768240, 116396280, -99768240, 62355150, -27713400, 8314020, -1511640, 125970, 0, 0, 0, 0, 0, 0, 0, 0, 0, 167970, -1847560, 9237800, -27713400, 55426800, -77597520, 77597520, -5542600, 27713400, -9237800, 184560, -167960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184756, -1847560, 8314020, -22170720, 38798760, -46558512, 38798760, -22170720, 8314020, -1847560, 184756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 167960, -1511640, 6046560, -14108640, 21162960, -21162960, 14108640, -6046560, 1511640, -167960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 125970, -1007760, 3527160, -7054320, 8817900, -7054320, 3527160, -1007760, 125970, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77520, -542640, 1627920, -2713200, 2713200, -1627920, 542640, -77520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38760, -232560, 581400, -775200, 581400, -232560, 38760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15504, -77520, 155040, -155040, 77520, -15504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4845, -19380, 29070, -19380, 4845, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1140, -3420, 3420, -1140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 190, -380, 190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1])

 (2)

d1 := MatrixInverse[Q](v1)

Error, invalid input: LinearAlgebra:-Generic:-MatrixInverse[Q] expects its 1st argument, A, to be of type Matrix, but received Matrix*(21, 21, [1, -20, 190, -1140, 4845, -15504, 38760, -77520, 125970, -167960, 184756, -167960, 125970, -77520, 38760, -15504, 4845, -1140, 190, -20, 1, 0, 20, -380, 3420, -19380, 77520, -232560, 542640, -1007760, 1511640, -1847560, 1847560, -1511640, 1007760, -542640, 233560, -77520, 19380, -3420, 380, -20, 0, 0, 190, -3420, 29070, -155040, 581400, -1627920, 3527160, -6046560, 8314020, -9237800, 8314020, -6046560, 3527160, -1627920, 581400, -155040, 29070, -3420, 190, 0, 0, 0, 1140, -1930, 155040, -775200, 27132...

  

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