my guide for matrices of transformation!! :)

[beewhiz997]

so some people have asked me for how i do matrices of transformation...and i will post it here so everyone can see!!!

alright so the way i memorise this is by using mnemonics( like making each number stand for something, u will see). memorise in this order!
For THESE matrices i make the whole matrix stand for the word ollo ( its kinda like an insult ) so 0110 is ollo get it?

reflection y=x
(0 1
1 0)
i call this ollo
reflection y=-x
( 0 -1
-1 0)
i call this ollo with all minus
rotation 90 anticlockwise
( 0 -1
1 0)
i call this ollo with top minus
rotation 90 clockwise
( 0 1
-1 0)
i call this ollo with bottom minus
For THESE matrices i make the whole matrix stand for the word lool ( kinda like lol) so 1001 is lool
rotation 180
( -1 0
0 -1)
i call this lool with all minus
reflection y axis
( -1 0
0 1)
i call this lool with top minus
reflection x axis
( 1 0
0 -1)
i call this lool with bottom minus
For THESE matrices i made up a STORY so look!
shear x axis
( 1 k
0 1)
i made these numbers stand for IS KHALED ON LINE?
so 1= is k= khaled 0= on 1= line
shear y axis
(l 0
k 1)
i made this one a word: local = lokl = 10k1
stretch y axis
( k 0
0 l)
this is also a word: cool = kool = k001
stretch x axis
( 1 0
0 k)
this is also a word: look = 100k
FINALLY
enlargement ( only one thank god )
(k 0
0 k)
i made it stand for cook = k00k
HOPE I HELPED AND INSHALLAH U WILL UNDERSTAND AND DO GOOD

file is attached below( some minor changes to the mnemonics too ), kindly made by wooowooowoo ( long name i know )

 

[wooowooowoo]

That's brilliant!

 

[beewhiz997]

That's brilliant!

thanks this is how i memorise them, i mean my teacher taught us so now i use it ALOT! it really helps

 

[wooowooowoo]

thanks this is how i memorise them, i mean my teacher taught us so now i use it ALOT! it really helps

I knew about the KOOL, LOOK, Loki and LKOI but these new additions are just fantastic. I need to mug them all up
Do you mind if I make a PDF out of it ?

 

[beewhiz997]

I knew about the KOOL, LOOK, Loki and LKOI but these new additions are just fantastic. I need to mug them all up
Do you mind if I make a PDF out of it ?

no of course not just if u publish it to xtremepapers mention my username or this link

 

[IGCSE O/L student]

dats cool! my teacher taught me a different method, though. he taught us 2 find the matrices usin base vectors.
eg: wen u rotate (1,0) n (0,1) 90 degrees clockwise, (1,0) moves to (0,-1), n (0,1) moves to (1,0). so the matrix for dis transormation is
(0 1
-1 0)

 

[beewhiz997]

dats cool! my teacher taught me a different method, though. he taught us 2 find the matrices usin base vectors.
eg: wen u rotate (1,0) n (0,1) 90 degrees clockwise, (1,0) moves to (0,-1), n (0,1) moves to (1,0). so the matrix for dis transormation is
(0 1
-1 0)

yes we learnt that as well

 

[wooowooowoo]

Alright
Should I post it here or as a new thread?

 

[ahmedali1]

Hi guys
im in grade 10 and doing the exams right now .
i have studied by myself without any teacher , and since no one told me about this method i figured out my own method and i used it in paper 2 also for the shear one and got the correct answer.
what i do is using Simultaneous Equation to find the matrix of a given transformation.
if anyone thinks the above method is hard to memorize , i can explain my method , it might be easier for somepeople.

 

[IGCSE O/L student]

Hi guys
im in grade 10 and doing the exams right now .
i have studied by myself without any teacher , and since no one told me about this method i figured out my own method and i used it in paper 2 also for the shear one and got the correct answer.
what i do is using Simultaneous Equation to find the matrix of a given transformation.
if anyone thinks the above method is hard to memorize , i can explain my method , it might be easier for somepeople.

wat ws da invariant line?

 

[ahmedali1]

wat ws da invariant line?

x-axis

 

[IGCSE O/L student]

x-axis

Thnx a lot! U made me a lot happier. Sum other person argued sayin dat y-axis ws da invariant line.​

 

[Meg]

whats ur method

Hi guys
im in grade 10 and doing the exams right now .
i have studied by myself without any teacher , and since no one told me about this method i figured out my own method and i used it in paper 2 also for the shear one and got the correct answer.
what i do is using Simultaneous Equation to find the matrix of a given transformation.
if anyone thinks the above method is hard to memorize , i can explain my method , it might be easier for somepeople.

 

[IGCSE O/L student]

Hi guys
im in grade 10 and doing the exams right now .
i have studied by myself without any teacher , and since no one told me about this method i figured out my own method and i used it in paper 2 also for the shear one and got the correct answer.
what i do is using Simultaneous Equation to find the matrix of a given transformation.
if anyone thinks the above method is hard to memorize , i can explain my method , it might be easier for somepeople.

yes, wat is it?

 

[~$!D~]

so some people have asked me for how i do matrices of transformation...and i will post it here so everyone can see!!!

alright so the way i memorise this is by using mnemonics( like making each number stand for something, u will see). memorise in this order!
For THESE matrices i make the whole matrix stand for the word ollo ( its kinda like an insult ) so 0110 is ollo get it?

reflection y=x
(0 1
1 0)
i call this ollo
reflection y=-x
( 0 -1
-1 0)
i call this ollo with all minus
rotation 90 anticlockwise
( 0 -1
1 0)
i call this ollo with top minus
rotation 90 clockwise
( 0 1
-1 0)
i call this ollo with bottom minus
For THESE matrices i make the whole matrix stand for the word lool ( kinda like lol) so 1001 is lool
rotation 180
( -1 0
0 -1)
i call this lool with all minus
reflection y axis
( -1 0
0 1)
i call this lool with top minus
reflection x axis
( 1 0
0 -1)
i call this lool with bottom minus
For THESE matrices i made up a STORY so look!
shear x axis
( 1 k
0 1)
i made these numbers stand for IS KHALED ON LINE?
so 1= is k= khaled 0= on 1= line
shear y axis
(l 0
k 1)
i made this one a word: local = lokl = 10k1
stretch y axis
( k 0
0 l)
this is also a word: cool = kool = k001
stretch x axis
( 1 0
0 k)
this is also a word: look = 100k
FINALLY
enlargement ( only one thank god )
(k 0
0 k)
i made it stand for cook = k00k
HOPE I HELPED AND INSHALLAH U WILL UNDERSTAND AND DO GOOD

INSHALLAH ND AMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEN..........

 

[ahmedali1]

i use the coordinates of two points and their image after the transformation.
for example the question is rotation 90 degrees clockwise , about origin
take two points , (0,2) (1,0)
get the image of the two points after the rotation , so (2,0) (0,-1)
now u can use Simultaneous Equation to find the matrix.
( x y ) (0 1) = (2 0)
(m n) (2 0) (0 -1)
now
0x + 2y= 2 And 0m+2n= 0
1x + 0y = 0 m+0n=-1


solve these simultaneous equations and u will get :

x= 0 y=1
m= -1 n=0
so the matrix for rotation 90 degrees clockwise is
( 0 1 )
(-1 0 )

 

[IGCSE O/L student]

i use the coordinates of two points and their image after the transformation.
for example the question is rotation 90 degrees clockwise , about origin
take two points , (0,2) (1,0)
get the image of the two points after the rotation , so (2,0) (0,-1)
now u can use Simultaneous Equation to find the matrix.
( x y ) (0 1) = (2 0)
(m n) (2 0) (0 -1)
now
0x + 2y= 2 And 0m+2n= 0
1x + 0y = 0 m+0n=-1


solve these simultaneous equations and u will get :

x= 0 y=1
m= -1 n=0
so the matrix for rotation 90 degrees clockwise is
( 0 1 )
(-1 0 )

nice!!!

 

[beewhiz997]

Alright
Should I post it here or as a new thread?

here is fine

 

[wooowooowoo]

Sorry. File updated

 

[wooowooowoo]

i use the coordinates of two points and their image after the transformation.
for example the question is rotation 90 degrees clockwise , about origin
take two points , (0,2) (1,0)
get the image of the two points after the rotation , so (2,0) (0,-1)
now u can use Simultaneous Equation to find the matrix.
( x y ) (0 1) = (2 0)
(m n) (2 0) (0 -1)
now
0x + 2y= 2 And 0m+2n= 0
1x + 0y = 0 m+0n=-1


solve these simultaneous equations and u will get :

x= 0 y=1
m= -1 n=0
so the matrix for rotation 90 degrees clockwise is
( 0 1 )
(-1 0 )

Wow
This is just great. Thanks