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anonymous

  • 5 years ago

pls help, how to define trivial solution and nontrivial solution? in linear algebra..

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  1. anonymous
    • 5 years ago
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    trivial solution is when the solution vector is the zero vector as it satisfies every matrix equation

  2. anonymous
    • 5 years ago
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    nontrivial is any non-zero solution

  3. anonymous
    • 5 years ago
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    for example of u are finding the nullspace of a matrix the zero vector is in the nullspace of every matrix so it is a trivial solution

  4. anonymous
    • 5 years ago
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    for an exmple i got 2 solution a=0, b=0 that means its trivial..? how about matrix independent and matrix dependent...? thx for helping

  5. anonymous
    • 5 years ago
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    maybe if u showed me the system it wud be clearer

  6. anonymous
    • 5 years ago
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    \[V1=(3,-1),V2(-2,2) its trivial solution..?\]

  7. anonymous
    • 5 years ago
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    surely that is non-trivial? or do they mean the vectors which span the nullspace thus giving zero upon multiplication

  8. anonymous
    • 5 years ago
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    that is the question..im using C1V1+C2V2=0 formula i get C1=0 and C2=0

  9. anonymous
    • 5 years ago
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    c1=0 asnd c2 =0 is the trivial solution alright any non-zero values for the c's will be non-trivial

  10. anonymous
    • 5 years ago
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    alright...thx u...:D

  11. anonymous
    • 5 years ago
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    if the 2 vectors are linearly independent there will only be the trivial solution and they are as the matrix they form is row equivalent to the identity matrix

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