Question

Find a row echelon form fo the matrix
1 3 -1
2 1 4
-3 0 1

Please include the steps! thank you so much :)

Answer 1

No, you do it.

Answer 2

:(

Answer 3

do you know what a 'row echelon form' is ?

Answer 4

yes! like
1
01
001
format?

Answer 5

thats correct, have you tried this ?
if yes, which step are you stuck ?

Answer 6

well... im not sure where to begin...it doesnt end right..

Answer 7

ok, so firstly, you know that you want to make that '2' as 0, right ?
for that you can do, R2 = R2-2R1
what u get ?

Answer 8

wait.. do u mean -2R1 - R2?

Answer 9

-2(1) -2 = -2-2 =-4
not that won't give you 0, right ?

Answer 10

oops i mean +

Answer 11

then that what i said...

Answer 12

so 0 -5 6?

Answer 13

yes, thats correct.

Answer 14

now how about making that '-3' as 0 ?
do, R3=3R1+R3

Answer 15

0 9 -2

Answer 16

so now, you only require o get rid of that 9 , right ?

Answer 17

yep!

Answer 18

idk how to do that because if i try to get rid of it the 0 would change?

Answer 19

OHHH MULTIPLY ROW 2 BY 9/5

Answer 20

5/9 *

Answer 21

nvm

Answer 22

MULTIPLY ROW 2 BY 9/5<---correct
then you can add row 2 and row 3

Answer 23

i got 0 0 44/5

Answer 24

-2+6*9/5 = -2+54/5 = 44/5
yes, thats correct.

Answer 25

now the 2nd number in row 2 has to be 1 right?

Answer 26

is it required ?
http://en.wikipedia.org/wiki/Row_echelon_form
not actually.
you're done.

Answer 27

if you were asked 'reduced' row ...then you need to make that =1

Answer 28

OHHHHH OKAY I GET IT!

Answer 29

THANK YOU SOOO MUCH :)

Answer 30

welcome ^_^
i see you are new here, so
\(\Huge \mathcal{\text{Welcome To OpenStudy}\ddot\smile} \)

Answer 31

:)))) thank you!!!!