matrics

[sonic pebble]

i am really struggling with this matric i am trying to use this Gauss rules but i just cant it to go to the stairs with 0 i will show what i have done

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[grim fractal]

What step are you stuck on?

[sonic pebble]

i cant get to the 0 stairs

one row always get like 1 or minus 1 one in the begining

[grim fractal]

Divide R #1 by −1 to make the pivot in the first column 1

youd get

[1 0 -1 -2 | -2
0 1 0 0 | 0
1 0 2 1 | 1]

[sonic pebble]

yup i got to that stage and the next one is where i am struggling

[grim fractal]

Then, we eliminate the first column in R #3
​

Turn R #3 to R #3 − R #1.

This is the new R #3: (1,0,2,1,∣,1)−(1,0,−1,−2,∣,−2)=(0,0,3,3,∣,3).

i feel like this is hard to understand

updated matrix

What do you think the next step should be?

@sonic pebble

[sonic pebble]

let me write and think for a few minutes to make sure i am following here my brain is sloooow but appriciate this a ton

so our plan @grim fractal is to change the rows so row 2 becomes 1 and row 1 becomes 3. then i am wondering if we can multiply row 3 by row 1.....

[grim fractal]

no you cant

multiply row 3 by row 1

[sonic pebble]

Ahh ok can I multiply row 3 with 0

[grim fractal]

no

[sonic pebble]

Hmmm

[grim fractal]

are you trying to simplify

row 3

[sonic pebble]

I am trying to get to the stairs with 0

I am sorry I am suuuuuper lost

[grim fractal]

ok

[grim fractal]

rewind to here

read all the msgs after that

the step after this is to normalize r #3

Divide row 3 by 3 to make the pivot in the third column equal to 1

it makes 1/3 r #3

[sonic pebble]

did you switch row 3 and 1?

[grim fractal]

yes

[sonic pebble]

this is verry confusing

sorry

[grim fractal]

so

New Row 3 is (0,0,1,1,∣,1).

now eliminate the third column in row 1

To eliminate the 2 in the third column of R #1, subtract 2R #3 from R #1

[sonic pebble]

ohhhh so the first collum in row one can stay 1 it doesnt need to be 0?

i think i maybe slightly understood it a bit so i am gonna start over to remove all the possible confusision

i will let you know if its going bad again

[grim fractal]

yes

[grim fractal]

ok

I like using pen and paper

[sonic pebble]

same i am writing it down

[sonic pebble]

we made it!!

thank you @grim fractal

[grim fractal]

np

[sonic pebble]

where is the thank thing hahah a

[grim fractal]

+close

[placid atlas]

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[sonic pebble]

+close

[placid atlas]

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[placid atlas]

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[grim fractal]

Thanks