Question

Find the linear combination of the vectors

Answer 1

question #50

Answer 2

augment and rref

Answer 3

ya but it is becoming an ugly anser

Answer 4

|its spose to, these things are never pretty :)

Answer 5

can you type up the first one for me, i have trouble trying to switch back and forth and keep things in order

Answer 6

A:= u1 u2 u3

Ax = v

x = A-1 v
= | A | v|

Answer 7

what do u mean?

Answer 8

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

Answer 9

ok will do

Answer 10

u1= (1,3,2,1) u2=(2,-2,-5,4) u3= (2,-1,3,6) v= (2,5,-4,0)

Answer 11

\[\begin{pmatrix}u_1&u_2&u_3\\1&2&2\\3&-2&-1\\2&-5&3\\1&4&6\\\end{pmatrix}\begin{pmatrix}x\\x_1\\x_2\\x_3\\x_4\end{pmatrix}=\begin{pmatrix}v\\2\\5\\-4\\0\end{pmatrix}\]

\[\begin{pmatrix}x\\x_1\\x_2\\x_3\\x_4\end{pmatrix}=RREF\begin{pmatrix}u_1&u_2&u_3&|&v\\1&2&2&|&2\\3&-2&-1&|&5\\2&-5&3&|&-4\\1&4&6&|&0\\\end{pmatrix}\]

Answer 12

thats what I mean; but wolfram make light work of it :)

Answer 13

ummm y did you add the the u1 u2 and u3 ontop?

Answer 14

Is that part of the matrix

Answer 15

just to clairify what was what; its not part of the actual process tho, just references

Answer 16

ohhhh ok i see

Answer 17

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

Answer 18

Thanks amistre :D

Answer 19

LOL u were born in the same yr as my mom LOL

Answer 20

and my x vector is one component to many :)

Answer 21

what year was I born :)

Answer 22

1964

Answer 23

nope .... thats just an old aol thing thats stuck with me thru the years :)

Answer 24

hehe

Answer 25

so, according to the rref on the wolf:

x = <2,1,-1>

Answer 26

yup i see thanks amistre

Answer 27

youre welcome; and i was born in 1972 ;) or so ive been led to believe

Answer 28

hehe so you are not much younger than my mom :D