So on the june 2012 paper, question 6bi, the question is asking for a rotation followed by an enlargement which equals to the matrix shown. However the answer is not the same as what i got, but i put through my answer into my graphics calculator and i am 100% sure it is correct, would this still get marks on the test?
The question
:
The matrix M is defined by M = [-1, -1]
[ 1,-1]
Given that M represents an enlargement followed by a rotation, find the scale factor of the enlargement and the angle of rotation.
Their answer is enlargement root 2
Angle of rotation 135 degrees anticlockwise
However my answer :
Enlargement negative root 2
Angle of rotation 45 clockwise
As [cos - 45, - sin -45] multiplied by [ -root2, 0]
[sin -45, cos -45 ] [0, -root2]
Also equals to [-1, -1]
[1, -1]
But my answer isn't in the answer area.
Am i right??