anonymous
  • anonymous
Which values of K make the matrix inconsistent?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
-6 k 0 -2 -2 -2 -1 -1 0
anonymous
  • anonymous
Answer: when k is any real number. lolz
watchmath
  • watchmath
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.

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watchmath
  • watchmath
sorry I made a mistake above
watchmath
  • watchmath
Is this a homogenous equation AX=0 or AX=b. In the second case what is our b here?
anonymous
  • anonymous
It's augmented. :)
anonymous
  • anonymous
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?
watchmath
  • watchmath
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)
anonymous
  • anonymous
no that makes it consistent?
watchmath
  • watchmath
It has no solution, so it is inconsistent
anonymous
  • anonymous
right. but it has no solution no mater the case for k.
watchmath
  • watchmath
Ah you are right! :D
anonymous
  • anonymous
:) Silly matrices

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