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anonymous

  • 5 years ago

Which values of K make the matrix inconsistent?

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  1. anonymous
    • 5 years ago
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    -6 k 0 -2 -2 -2 -1 -1 0

  2. anonymous
    • 5 years ago
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    Answer: when k is any real number. lolz

  3. watchmath
    • 5 years ago
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    it is inconsistent if the first row is a multiple of the second or the third row. From the last entry (the 0 and -2 ), the first row can't be a multiple of the second row.

  4. watchmath
    • 5 years ago
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    sorry I made a mistake above

  5. watchmath
    • 5 years ago
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    Is this a homogenous equation AX=0 or AX=b. In the second case what is our b here?

  6. anonymous
    • 5 years ago
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    It's augmented. :)

  7. anonymous
    • 5 years ago
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    Ax=b All values of k make the matrix inconsistent because the last row has a 'b' value of 0. The first two cannot equal zero. Am I correct?

  8. watchmath
    • 5 years ago
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    sok, so to make it inconsistent then k=-6. Because we will have -6x-6y=0. If we divide that by -3 we have -2x-2y=0. Meanwhile the second row tells us that -2x-2y=2 (and it can't be 0 and 2 at the same time)

  9. anonymous
    • 5 years ago
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    no that makes it consistent?

  10. watchmath
    • 5 years ago
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    It has no solution, so it is inconsistent

  11. anonymous
    • 5 years ago
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    right. but it has no solution no mater the case for k.

  12. watchmath
    • 5 years ago
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    Ah you are right! :D

  13. anonymous
    • 5 years ago
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    :) Silly matrices

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