anonymous
  • anonymous
Find the linear combination of the vectors
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
question #50
1 Attachment
amistre64
  • amistre64
augment and rref
anonymous
  • anonymous
ya but it is becoming an ugly anser

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amistre64
  • amistre64
|its spose to, these things are never pretty :)
amistre64
  • amistre64
can you type up the first one for me, i have trouble trying to switch back and forth and keep things in order
amistre64
  • amistre64
A:= u1 u2 u3 Ax = v x = A-1 v = | A | v|
anonymous
  • anonymous
what do u mean?
amistre64
  • amistre64
give me the u1 u2 u3 and v so that i can work with them; or else im sure to botch it up between switching back and forth from here to there
anonymous
  • anonymous
ok will do
anonymous
  • anonymous
u1= (1,3,2,1) u2=(2,-2,-5,4) u3= (2,-1,3,6) v= (2,5,-4,0)
amistre64
  • amistre64
\[\begin{pmatrix}u_1&u_2&u_3\\1&2&2\\3&-2&-1\\2&-5&3\\1&4&6\\\end{pmatrix}\begin{pmatrix}x\\x_1\\x_2\\x_3\\x_4\end{pmatrix}=\begin{pmatrix}v\\2\\5\\-4\\0\end{pmatrix}\] \[\begin{pmatrix}x\\x_1\\x_2\\x_3\\x_4\end{pmatrix}=RREF\begin{pmatrix}u_1&u_2&u_3&|&v\\1&2&2&|&2\\3&-2&-1&|&5\\2&-5&3&|&-4\\1&4&6&|&0\\\end{pmatrix}\]
amistre64
  • amistre64
thats what I mean; but wolfram make light work of it :)
anonymous
  • anonymous
ummm y did you add the the u1 u2 and u3 ontop?
anonymous
  • anonymous
Is that part of the matrix
amistre64
  • amistre64
just to clairify what was what; its not part of the actual process tho, just references
anonymous
  • anonymous
ohhhh ok i see
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=rref+%7B%7B1%2C2%2C2%2C2%7D%2C%7B3%2C-2%2C-1%2C5%7D%2C%7B2%2C-5%2C3%2C-4%7D%2C%7B1%2C4%2C6%2C0%7D%7D
anonymous
  • anonymous
Thanks amistre :D
anonymous
  • anonymous
LOL u were born in the same yr as my mom LOL
amistre64
  • amistre64
and my x vector is one component to many :)
amistre64
  • amistre64
what year was I born :)
anonymous
  • anonymous
1964
amistre64
  • amistre64
nope .... thats just an old aol thing thats stuck with me thru the years :)
anonymous
  • anonymous
hehe
amistre64
  • amistre64
so, according to the rref on the wolf: x = <2,1,-1>
anonymous
  • anonymous
yup i see thanks amistre
amistre64
  • amistre64
youre welcome; and i was born in 1972 ;) or so ive been led to believe
anonymous
  • anonymous
hehe so you are not much younger than my mom :D

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