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Question: Old worksheets with linear algebra

Question:Old worksheets with linear algebra

janhardo 335
linearalgebra linalg
August 17 2020
0

Try to convert the old worksheet to the modern linear algebra package ( student )? 


 

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restart:
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with(LinearAlgebra):
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v1:=(3/4-lambda)*x1+3*x2+2*x3=0:
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v2:=3/4*x1-lambda*x2=0:
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v3:=1/3*x2-lambda*x3=0:
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stelsel:={v1,v2,v3}:
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        We bepalen nu de bijbehorende determinant, en onderzoeken voor welke waarden van    deze

        determinant  0  is:

 

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C:=Matrix([[3/4-lambda,3,2],[3/4,-lambda,0],[0,1/3,-lambda]]);

Matrix(3, 3, {(1, 1) = 3/4-lambda, (1, 2) = 3, (1, 3) = 2, (2, 1) = 3/4, (2, 2) = -lambda, (2, 3) = 0, (3, 1) = 0, (3, 2) = 1/3, (3, 3) = -lambda})

 (1)
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solve(det(C)=0);

Error, (in Engine:-Dispatch) badly formed input to solve: not fully algebraic

  
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   Nu onderzoeken we, wat de bijbehorende oplossingen zijn:

 

     Voor   :   λ "= - 1/(4)"

 

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lambda:=-1/4:
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solve(stelsel);

{x1 = x1, x2 = -3*x1, x3 = 4*x1}

 (2)
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Maple v 4

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Download uitw_03_m_recent.mw

 

 
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