solve the system of equation using elementary row operations please
x1 +x3+x4-2x5=1
2x1 + x2+ 3x3 -x4 +x5=0
3x1- x2 +x4 +4x3 +x4 +x5 =1

- anonymous

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- katieb

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- anonymous

[A|I]
solve that

- anonymous

wait thats to find its inverse.

- anonymous

can i not do it without the inverse say....
1 0 1 1 -2|1
0 0 0 -3 5|-2
0 0 2 -5 12| -4

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

1 0 1 1 -2|1
0 1 1 -3 5|-2
0 0 2 -5 12| -4

- anonymous

|dw:1371475600469:dw|

- anonymous

what operation u did chris?

- anonymous

i just put it in a matrix.

- anonymous

now pivot on (1,1), (2,2) (3,3) i think

- anonymous

|dw:1371475725695:dw|

- anonymous

thats the originaql matrix

- anonymous

yep i did that

- anonymous

now i see u pivoted on (1,1) and (2,2)

- anonymous

try pivoting on (3,3)

- anonymous

do u mean row 1 column 1 by (1,)? and pivot? move

- anonymous

im confused

- anonymous

so pivot on 3rd row 3rd column where there is a 4 in the original matrix once u pivtoed on (1,1) and (2,2)

- anonymous

this is what i get
|dw:1371475928708:dw|
i just need to know how to solve please

- dan815

okay this is what u gotta do

- dan815

|dw:1371476055250:dw|

- anonymous

pivot on (3,3)

- dan815

|dw:1371476095401:dw|

- anonymous

oh i see dan 815, thats guassiaon

- dan815

r3-2r2
and then r3-5*3/2 r2

- anonymous

so u get|dw:1371476137989:dw|

- anonymous

now we let x5=t x4=s

- anonymous

thats what i mean by pivot (3,3) make (3,3) a 1 entry

- anonymous

yes i got the above matrix thanks im getting it now

- anonymous

sweet

- anonymous

then write (x1,x2,x3,x4,x5) in terms of s and t

- anonymous

thanks chris and dan

- anonymous

u have no idea wat u r doing dan

- anonymous

haha.

- dan815

no no i do lol i know how to do matricies atleast xD

- dan815

we learnt upto eigen values

- anonymous

haha. eigen values is LEGEND

- anonymous

but wait guys, i was doing wahat dan said 1st...smh chris what row operations u did?

- anonymous

for row 3 i first did 1/2 of row 3 to get (3,3) to 1

- anonymous

oh i see so all the rows 1st non zero should be 1 right?

- anonymous

dont know what ur trying to say

- anonymous

but we pivot from left to right.

- anonymous

down the matrix

- anonymous

that word "pivot" confuses me...just tell me wat u did for row 2 please, the operation

- anonymous

new row 2 = r2-r3 when we have 1 on (3,3)

- anonymous

so we form a 0 above the 1

- anonymous

now we need to peform a 0 in row 1

- dan815

|dw:1371477202000:dw|

- anonymous

correct!

- anonymous

then u let x5=t x4=s

- dan815

oh ok i see

- anonymous

obviously it won't be unique...

- dan815

yes ofcourse lol

- dan815

a quadratic solution

- anonymous

u said u had to make all these zero's i was like ;qieufhqierufhqrfqr

- dan815

i learn now! OKAY!

- anonymous

grasshopper

- dan815

i knew u cudnt make it all 000 but i was oping to just get get some unique 1s

- dan815

and i thought that wud be enuff to write it as function of something

- anonymous

so th 3*3 part of the matrix should look like the identity matrix then? right?

- dan815

yes

- dan815

<---- matrix noob

- dan815

i feel like watching matrix now

- anonymous

correct hahaha

- anonymous

loll ok thanks again..its just the concept i'm trying to grasp

- anonymous

yea it took me a while with what pivoting is...get to know what pivoting is. makes like simple

- anonymous

pivoting is like the whole principle of row reducing..

- dan815

u can do this too

- dan815

|dw:1371477640930:dw|

- dan815

i call this operation the glass flip

- anonymous

i call it a waste of time.

- dan815

hahaha

- anonymous

i call me playing u at fifa a waste of time

- dan815

=O how dare u

- anonymous

haha

- dan815

i will only use my goal keeper

- anonymous

wait do u have ps3?

- dan815

i dont think so

- dan815

no wait i do

- anonymous

how do u not know if u have one or not? LOL

- dan815

lol i dunno its somehwere in the basement i didnt but it, its my bros

- dan815

buy*

- anonymous

do u use it?

- dan815

no i only play tic tac toe

- dan815

iam very close to mastering it

- anonymous

nah if u have 2 people who know how to master it. always a draw

- dan815

lol gee thankkss!!

- anonymous

|dw:1371477954369:dw|

- dan815

|dw:1371477951236:dw|

- dan815

GG

- anonymous

HAHAHAHAHAHAHAHAAHAHA

- dan815

hahahahaha

- anonymous

fark that was funny

- dan815

always pick x first thats the trick

- anonymous

|dw:1371478023209:dw|

- anonymous

wat now *****

- dan815

lol no

- dan815

ya but sseriously, i used to play ps3, xbod nintendo gamecube stuff.. but i dunno kinda grew out of it

- dan815

then i played a lotta computer games.. stopped that too

- dan815

now i just play random board games, to entertain kids when they come over

- anonymous

chess?

- dan815

usually like monopoly, checks or chess too sometimes

- anonymous

i boss at chess

- anonymous

even though i don't look like the guy who would

- dan815

r u really

- dan815

i wanna learn to get better, but i dunnnoo

- anonymous

yea, its fun if u have a challenging opponent

- dan815

have you seen that movie beautiful mind

- dan815

thers this game they play with round stones and this table

- anonymous

russel crowe?

- dan815

ya

- anonymous

good movie that

- dan815

|dw:1371478259298:dw|

- dan815

looks like that!! its a fun game

- anonymous

yea, never played it

- dan815

these are the 2 games i want to learn, chess and that
but i dont know anyone good at them

- anonymous

sorry to ruin the fun

- anonymous

but i'm having difficulty solving... x3 = -2 +5/6 -6t?

- anonymous

x3=-2-6t+5s/2

- anonymous

where x5=t x4=s

- anonymous

x2=t+s/2
x1=3+8t-7s/2

- anonymous

(x1,x2,x3,x4,x5)=s(-7/2,1/2,5/2,1,0)+t(8,1,-6,0,1)

- anonymous

i'll leave u at that i gtg to bed now now cya guys!

- anonymous

thanks much

Looking for something else?

Not the answer you are looking for? Search for more explanations.