Qualification > Math
IGCSE MATHS Doubts
The Golden Girl =D:
--- Quote from: A@di on April 25, 2010, 02:25:16 pm ---Do u want me to do the (e) part?
also, what rule are u talking about ? do u mean the (c) (ii) part??
--- End quote ---
ya sure ........ um no this rule "transformation matrix * object = image" ......
thx By the way :)
Ghost Of Highbury:
ok heres the (c) (ii) part
the formula i used = Object matrix * Transformation matrix = Image Matrix
The object matrix can contain 3 sets of values as the object is a triangle, however , as it is difficult to work with a 3*3 matrix, we'll go for only two sets of values from the triangle. TAke any two sets of vertices
I chose : A : (8,6)
B : (6,10)
Now the image matrix will be A| : (6,8)
B| : (10,6)
Arrange this in a form of matrix (formula), note : the set of values is arranged vertically (column wise)
(8 6) * Transformation Matrix = (6 10)
(6 10) (8 6)
Now by simple algebra we'll get --> Transformation Matrix = (6 10) * (8 6 )-1
(8 6) (6 10)
The inverse of (8 6 ) is (10/44 -6/44)
(6 10) (-6/44 8/44)
Therefore Transformation Matrix = (6 10) * (10/44 -6/44) = (0 1)
(8 6) (-6/44 8/44) (1 0)
Thus the Transformation Matrix = (0 1)
(1 0)
----------------------------------------
nest up, e part
Ghost Of Highbury:
Ill upload the pic and send a link for e part. plz wait
Ghost Of Highbury:
I cant upload the pic here, no clue y. ill try sending the solution to ur email id mentioned in ur SF profile. DO check
[EDIT] - Ok sent.
The Golden Girl =D:
i did check it , thx By the way :D
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