Ok i have had a heap of trouble on this Q. Below is the Q and under that is
some of my thoughts if anyone can help that would be great.
Given the points
A" = ( 0, 0 )
B" = ( -3, -16 )
C" = ( -19, -19 )
D" = ( -16, -3 )
And the fact that A"B"C"D" is the resulting shape after a double
transformation on the square A (0,0) ; B(0,5) ; C(5,5) and D(5,0).
ABCD was first acted on by matrix K and then was acted on by matrix L to
form A"B"C"D".
a) What are possible matrices for K and L?
b) What is the area of A"B"C"D"?
Ok well i figured there are 2 scenarios to this Q.
Scenario 1. Both K and L contribute to the shear and size of the resultant
shape.
Scenario 2. One of K or L is the identity matrix and the other does both
the
shear of the resultant shape and the size.
Scenario 3. One of K or L does the shear and the other does the size. In
this case the shear matrix will just be -I where I is the identity.
Ive completed scenarioes 2 and 3 and received results:
Scenario 2: K = Identiy and
L = -3.2 -.6
-.6 -3.2
Or vice-versa
Scenario 3: K = -I and
L = 3.2 .6
.6 3.2
Easy enough.
However i am really stuck in finding the K and L when both combine to form
the shear and size of the resultant shape. There must be some sort of
pattern or something. Plz help
