anonymous
  • anonymous
let A = [ 1 2 3 4: 5 6 7 8: -1 -2 -3 -4: -5 -6 -7 -8] as a 4x4 matrix find a basis for the vectorspace NullA
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
u mean null space?
anonymous
  • anonymous
correct
anonymous
  • anonymous
i used question 8 on this link: http://abacus.bates.edu/~etowne/031811jayawant205examsoln.pdf as a point of reference, but I'm unsure how to handle two free variables

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anonymous
  • anonymous
we reduce the matrix to reduced echelon form
anonymous
  • anonymous
[(1 0 -1 -2 \ 0 1 2 3 \ 0 0 0 -0\0 0 0 0)\] which shows two free variables, and that x(1) = x(3) +2x(4) and x(2) = -2x(3)-3x(4)
anonymous
  • anonymous
there r two non-zero rows, mean that rank=2 since we have rank + nullity =4(order of the matrix) nullity=2
anonymous
  • anonymous
then does the question even make sense to find the basis for that vectorspace?
anonymous
  • anonymous
u mean the given matrix?
anonymous
  • anonymous
for the null
anonymous
  • anonymous
the link i posted shows how they solved for a 3x3 with one free variable, but im unsure how to proceed with two
anonymous
  • anonymous
oh i didnt check it:)
anonymous
  • anonymous
opabrawl u there?

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