Post by: acash09 on January 11, 2010, 04:53:24 pm
Hey i would like to ask ya ppl whether u have th transformation matrices for maths IGCSE?
E.G. for stretch: (in the attachments)
K is the scale factor and y axis as the invariant line
could i also have the one for shear ( x and y invar.) , rotation, and any others i didn't mention.
Thanks in advance!
Mohamed
Post by: Kim on January 11, 2010, 04:55:53 pm
i used to have a wksht wid all of them
ill c if i can find it then ill send it to ya!
hopefully i have it sumwhere
Post by: Ghost Of Highbury on January 11, 2010, 04:56:28 pm
(1 0)
2. refelction in ml y=-x itz (0 -1)
(-1 0)
3. refelction in x-axis itz (1 0)
(0 -1)
4. reflection in y-axis itz (-1 0)
(0 1)
Rotation
1. rotation +90 degrees(anticlockwise) around centre(0,0) itz (0 -1)
(1 0)
2. rotation -90 degrees(clockwise) around centre (0,0) itz (0 1)
(-1 0)
3. rotation 180 degrees around centre (0,0) itz (-1 0)
(0 -1)
Enlargement
1. centre (0,0) wer k=scale factor, itz (k 0)
(0 k)
Shear
1. x invariant with x-axis wer k=scale factor (1 k)
(0 1)
2. y invariant with y-axis wer k=scale factor (1 0)
(k 1)
Stretch
1. x invariant with y-axis wer k=scale factor (1 0)
(0 k)
2. y invariant with x-axis wer k=scale factor (k 0)
(0 1)
Post by: Kim on January 11, 2010, 05:01:50 pm
but u got ur answer so enjoy
Post by: princess12 on May 16, 2010, 11:40:15 am
URGENTLY PLEASE ??? ??? ??? ??? ??? ??? ??? ??? ???
Post by: the_grim_reaper on May 16, 2010, 11:57:46 am
Post by: Ghost Of Highbury on May 16, 2010, 12:09:10 pm
take two object and correspoding image co-ordinates..
(-4,1) --> (-4,5)
(-1,1) --> (-1,2)
check the image attached
a shear transformation matrix with y-axis is invariant is = (1 0)
(k 1)
here k = -1
Post by: AshWINNER on September 05, 2010, 08:32:49 am
So if i am correct, if a shear leaves a line x=a invariant, so invariant line is y axis rite?
And in stretch, the axis parallel to the two points which do not change is the invariant line right
Please illustrate ne probs in my concepts
And 1 more doubt
Shear factor=Distance moved due to shear/Perp dist from inv line
If distance/displacement due to shear is towards negative ,then will the shear factor be negative
If that is true, then that explains the shear factor of -1 in nov 2009 paper
Post by: Arthur Bon Zavi on September 05, 2010, 09:08:48 am
i just have a doubt in determining the invariant line
So if i am correct, if a shear leaves a line x=a invariant, so invariant line is y axis rite?
And in stretch, the axis parallel to the two points which do not change is the invariant line right
Please illustrate ne probs in my concepts
And 1 more doubt
Shear factor=Distance moved due to shear/Perp dist from inv line
If distance/displacement due to shear is towards negative ,then will the shear factor be negative
If that is true, then that explains the shear factor of -1 in nov 2009 paper
nov 2009 which paper 1 , 2 , 4??
Post by: cooldude on September 05, 2010, 10:09:25 am
nov 2009 which paper 1 , 2 , 4??
42
Post by: Arthur Bon Zavi on September 05, 2010, 03:53:32 pm
42
right!!
Post by: Heart Hacker on September 05, 2010, 04:50:41 pm
Post by: SauD~ on October 19, 2010, 03:23:07 am
Post by: HUSH1994 on October 30, 2010, 04:23:36 am
Post by: Vin on October 30, 2010, 07:39:44 am
what is the translation's matrix,and how to determine the number of coloums and rows in a matrix after multiplying
Translation matrix depends on the object which has moved.
[Attachment] I've tried my level best to keep is as simple as possible. Scale => 1 cm = 1 unit
The black solid triangle is the object. Red triangle is the image i.e object after moving a certain distance.
In translation, the object has the same size as the image.
1. Notice the object has moved 5 blocks to the right and 10 blocks upwards. As the scale is 1 cm = 1 unit therefore we can assume x= 5 and y = 10 Notice both are positive as they are moving along the axis.
2. The object has moved 6 blocks to the right and 10 blocks downwards. Therefore the object moves along the x axis but moves against the y axis, so x = 6 and y = -10
3. The object moves 9 blocks to the left and 5 blocks upwards, along the y axis and against the x axis. y = 5 and x = -9
4. Object moves 7 blocks downwards and 8 blocks left. Against x and y axis, x = -8 and y = -7.
Post by: Vin on October 30, 2010, 07:44:43 am
A=
( 5 6 7 8 )
( 3 4 5 6 )
( 3 6 7 5 )
The order of the matrix (rows first and columns second) = 3 x 4.
Multiply A and another matrix B
A * B
( 5 6 7 8 ) ( 2 3 4)
( 3 4 5 6 ) ( 4 5 2)
( 3 6 7 5 ) ( 4 5 6)
( 0 3 2)
3 x 4 4 x 3
Red represents whether the matrix can be multiplied, blue represents the matrix after multiplication.
Try it out, because it's been a while I haven't touched transformations.
Post by: HUSH1994 on October 30, 2010, 10:00:12 am
Post by: Vin on October 30, 2010, 10:09:30 am
Thanks alot vin,+rep,By the way do u have any guide for statistics and all formulas u will need IQR,histograms and so
You're welcome. ;)
Do these help?
Post by: Arthur Bon Zavi on October 30, 2010, 10:13:55 am
You're welcome. ;)
Do these help?
Does revision checklists for the AS/A level subjects also appear?
Post by: Vin on October 30, 2010, 10:24:19 am
Does revision checklists for the AS/A level subjects also appear?
Appear as in?
I don't think such checklist is ever made for A levels. I've tried searching for it before.
Post by: Arthur Bon Zavi on October 30, 2010, 10:32:28 am
Appear as in?
I don't think such checklist is ever made for A levels. I've tried searching for it before.
Appear = are the there in the CIE or any (other site)?