Finding matrix Operators











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Give the matrix:



        {{1, 1, 0, 0, 0, 0},

         {1, 1, 1, 0, 0, 0},

         {0, 1, 1, 1, 0, 0},

         {0, 0, 1, 1, 0, 0},

         {0, 0, 0, 0, 0, 1},

         {0, 0, 0, 0, 1, 1}};


Find:
W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4



When I solved I got:



  15  15  11  5  0  0

  15  23  23  11  0  0

  11  23  23  15  0  0

  5  11  15  15  0  0

  0  0  0  0  3  3

  0  0  0  0  3  7


For some reason that just didn't seem right to me. I'm using a program to solve this so I have no idea where I went wrong. I plugged in:
D^1*D^2*D^3*D^4 and that was no what came out. It was much larger numbers!






matrices operator-theory







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  • PLease see math.meta.stackexchange.com/questions/5020/…
    – Lord Shark the Unknown
    Nov 16 at 5:30










  • Please explain your question and the terms used in it. What is this expression: W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4. Is D^3=$D^3$ ? What is "ʘ"?
    – tpb261
    Nov 16 at 8:13















up vote
0
down vote

favorite












Give the matrix:



        {{1, 1, 0, 0, 0, 0},

         {1, 1, 1, 0, 0, 0},

         {0, 1, 1, 1, 0, 0},

         {0, 0, 1, 1, 0, 0},

         {0, 0, 0, 0, 0, 1},

         {0, 0, 0, 0, 1, 1}};


Find:
W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4



When I solved I got:



  15  15  11  5  0  0

  15  23  23  11  0  0

  11  23  23  15  0  0

  5  11  15  15  0  0

  0  0  0  0  3  3

  0  0  0  0  3  7


For some reason that just didn't seem right to me. I'm using a program to solve this so I have no idea where I went wrong. I plugged in:
D^1*D^2*D^3*D^4 and that was no what came out. It was much larger numbers!






matrices operator-theory







share|cite|improve this question






















  • PLease see math.meta.stackexchange.com/questions/5020/…
    – Lord Shark the Unknown
    Nov 16 at 5:30










  • Please explain your question and the terms used in it. What is this expression: W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4. Is D^3=$D^3$ ? What is "ʘ"?
    – tpb261
    Nov 16 at 8:13













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Give the matrix:



        {{1, 1, 0, 0, 0, 0},

         {1, 1, 1, 0, 0, 0},

         {0, 1, 1, 1, 0, 0},

         {0, 0, 1, 1, 0, 0},

         {0, 0, 0, 0, 0, 1},

         {0, 0, 0, 0, 1, 1}};


Find:
W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4



When I solved I got:



  15  15  11  5  0  0

  15  23  23  11  0  0

  11  23  23  15  0  0

  5  11  15  15  0  0

  0  0  0  0  3  3

  0  0  0  0  3  7


For some reason that just didn't seem right to me. I'm using a program to solve this so I have no idea where I went wrong. I plugged in:
D^1*D^2*D^3*D^4 and that was no what came out. It was much larger numbers!






matrices operator-theory







share|cite|improve this question













Give the matrix:



        {{1, 1, 0, 0, 0, 0},

         {1, 1, 1, 0, 0, 0},

         {0, 1, 1, 1, 0, 0},

         {0, 0, 1, 1, 0, 0},

         {0, 0, 0, 0, 0, 1},

         {0, 0, 0, 0, 1, 1}};


Find:
W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4



When I solved I got:



  15  15  11  5  0  0

  15  23  23  11  0  0

  11  23  23  15  0  0

  5  11  15  15  0  0

  0  0  0  0  3  3

  0  0  0  0  3  7


For some reason that just didn't seem right to me. I'm using a program to solve this so I have no idea where I went wrong. I plugged in:
D^1*D^2*D^3*D^4 and that was no what came out. It was much larger numbers!






matrices operator-theory




matrices operator-theory






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share|cite|improve this question











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asked Nov 16 at 5:17









CooperH

12




12












  • PLease see math.meta.stackexchange.com/questions/5020/…
    – Lord Shark the Unknown
    Nov 16 at 5:30










  • Please explain your question and the terms used in it. What is this expression: W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4. Is D^3=$D^3$ ? What is "ʘ"?
    – tpb261
    Nov 16 at 8:13


















  • PLease see math.meta.stackexchange.com/questions/5020/…
    – Lord Shark the Unknown
    Nov 16 at 5:30










  • Please explain your question and the terms used in it. What is this expression: W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4. Is D^3=$D^3$ ? What is "ʘ"?
    – tpb261
    Nov 16 at 8:13
















PLease see math.meta.stackexchange.com/questions/5020/…
– Lord Shark the Unknown
Nov 16 at 5:30




PLease see math.meta.stackexchange.com/questions/5020/…
– Lord Shark the Unknown
Nov 16 at 5:30












Please explain your question and the terms used in it. What is this expression: W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4. Is D^3=$D^3$ ? What is "ʘ"?
– tpb261
Nov 16 at 8:13




Please explain your question and the terms used in it. What is this expression: W = ʘD^1 v ʘD^2 v ʘD^3 v ʘD^4. Is D^3=$D^3$ ? What is "ʘ"?
– tpb261
Nov 16 at 8:13















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