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FP1 Matrices question



i) Write down the matrix P representing this transformation

iii) Describe the transformation fully

Stuck on this, can someone explain how to work out what a transformation is from a graph?
(edited 10 years ago)
You can work out the angle it has 'shifted' by using a neat 1x2 right angled triangle.
Reply 2
Original post by Solivagant
You can work out the angle it has 'shifted' by using a neat 1x2 right angled triangle.


How would that help though?
Original post by Sam160
How would that help though?


To find the matrix all you need is the images of the points (1,0) and (0,1).
If (1,0) goes to (a,b) and (0,1) goes to (c,d) then the matrix is (acbd)\begin{pmatrix} a & c \\ b & d \end{pmatrix}
Original post by Sam160
How would that help though?


Hmm... I may be doing something different to you. Good luck :h:
Reply 5
Original post by brianeverit
To find the matrix all you need is the images of the points (1,0) and (0,1).
If (1,0) goes to (a,b) and (0,1) goes to (c,d) then the matrix is (acbd)\begin{pmatrix} a & c \\ b & d \end{pmatrix}


Thank you :smile:

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