I have my FP1 exam on Wednesday and I need to clear up a few questions I have on matrices. If you reply, please explicitly reference (by quoting or numbered points) to which question you are referring to. This will help me understand to which point you have aimed your response.
Thank you very much for your help, it is much appreciated!
- If a question says for example, "Write down the corresponding 2 x 2 matrix of a 40 degree clockwise rotation", then can I write down the 2 x 2 matrix corresponding to a 320 degree anticlockwise rotation? Surely the sine and cosine values come out to be the same and so this wouldn't matter?
- In my specification and in all of the past papers, I have never seen a question using radians as a measure of angles instead of degrees, in matrices related questions. Is it possible to get a question dealing with matrices in radians in AQA GCE Further Mathematics (6360)? If so, would I convert to degrees first (using 360deg = 2pi) or would I do the question in radians?
- Is y = (-tan(theta))x the same as y = (tan(-theta))x the same as y = -xtan(theta), when dealing with reflections using a 2 x 2 matrix?
- In the formulae booklet, we are given the general 2 x 2 matrix for reflections in the line y=xtan(theta). If we are given a question regarding a reflection in the line y=(-tan(theta))x, then where should we put the extra minus signs? Am I correct in thinking that I should put the extra minus signs in the top right and bottom left hand corner of the general 2 x 2 matrix for reflections, whilst retaining the preexisting minus sign in the bottom right hand corner?
AQA FP1 matrices help please
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