Edexcel FP3 - 27th June, 2016

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Hey guys, I hope FP3 is going good for everyone, I have a question about matrices and inverses;

I have a query about Question 1b

Here is my working (I am aware simult equations is the best method, however what is wrong with the method i used)

I am assuming, bar some silly arithmetic error, that this is wrong because the inverse of the inverse of a transformation doesn't give you the transformation itself ie

(T^{-1})^{-1} \neq T

, if this is the case, could someone please explain why

Thanks :biggrin:

Sorry but that is true. Shud be equals not =/=
If T is a square matrix and not singular ofcourse.
(A)(A)^-1=A^-1(A)=I
Note (AB)^-1=B^-1A^-1 *

Now (AA^-1)^-1=I^-1=I
(AA^-1)^-1= (A^-1)^-1(A^-1)=I
(A^-1)^-1(A^-1)(A)=IA=A
(A^-1)^-1=A qed

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Reply 41

DylanJ42

Original post by physicsmaths

I originally assumed equals, but due to my answer being wrong and finding no mistakes in my workings I thought it must be "not equals", thank you for clearing it up though :biggrin:

Very impressive :chaplin:

Reply 42

DylanJ42

Original post by 1 8 13 20 42

I looked at the simultaneous equations and got to z coordinate -(15/4)t with that as well, maybe an error in the answers?

Let's go with that :laugh:

Thank you for your help :biggrin:

Joining.

Joined

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Reply 45

Krollo

Joining for the banter

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Reply 46

雷尼克

Not looking forward to this :smile:

Reply 47

DylanJ42

I'm noticing that on the edexcel website both the FP2 and FP3 papers from pre 2008/2009 have (legacy) beside them. What does this mean? thanks :smile:

Reply 48

shamika

Original post by DylanJ42

I'm noticing that on the edexcel website both the FP2 and FP3 papers from pre 2008/2009 have (legacy) beside them. What does this mean? thanks :smile:

Probably that they are based on the old P5/P6 syllabus

Reply 49

kkboyk

Self teaching myself FP3. Anyone know of any good FP3 textbook? :tongue:

Reply 50

DylanJ42

Original post by shamika

Probably that they are based on the old P5/P6 syllabus

Ah okay, how much of the p5/p6 content overlaps with the fp2/fp3 content? Is there enough of an overlap to use the legcay papers as proper past papers, or will it just be a case of picking the odd question from them?

Reply 51

Proxenus

Original post by kkboyk

Self teaching myself FP3. Anyone know of any good FP3 textbook? :tongue:

can you make it Kel?

Reply 52

shamika

Original post by DylanJ42

I believe it's nearly identical except P5 had intrinsic coordinates which was needed in M6. If you give me a link to the legacy papers I can tell you for sure.

Reply 53

username1162972

Original post by DylanJ42

I have the P5/6 books so.
P5
Hyperbolic functions(FP3)
Differentiation(hyperbolic FP3 stuff)
Integration (hyperbolic FP3 stuff)
Coordinate systems(FP3)(one extra thing is intrinsic coordinates and radius of curvature)
P6
Maclauring taylor(Fp2)
Complex numbers (FP2)
Matrix algebra(FP3)
Vectors(FP3)
Numerical methods(FP2)
Proof(induction etc)
So P5/6 extremely helpful for FP2/3. I woukd just do the 'Old papers pack' on physicsandmathstutor which have like 100 old questions. Then do all papers including R/IAL.

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(edited 8 years ago)

Reply 54

username1162972

Original post by kkboyk

Self teaching myself FP3. Anyone know of any good FP3 textbook? :tongue:

Edexcel one is really good tbh.

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Reply 55

kkboyk

Original post by Proxenus

can you make it Kel?

Almost finished with all my Mahs modules.

Original post by physicsmaths

Edexcel one is really good tbh.

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Thanks. I'll try it.

Reply 56

Kvothe the Arcane

Just starting Fp3. Hopefully I can finish Matrices and make a decent start on vectors this week. I recall finding vectors difficult.

Hopefully it sticks.

Reply 57

DylanJ42

Original post by shamika

I believe it's nearly identical except P5 had intrinsic coordinates which was needed in M6. If you give me a link to the legacy papers I can tell you for sure.

I think physicsmaths has cleared it up, thank you anyway :biggrin:

Also M6 meaning mechanics 6? :eek:

why was it removed?

Original post by physicsmaths

Wow they are almost identical :redface:

Are the R papers more difficult or is that just a myth I've heard somewhere?

Reply 58

tiny hobbit

Original post by physicsmaths

I would just do the 'Old papers pack' on physicsandmathstutor which have like 100 old questions.

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It would be nice if physicsandmathstutor acknowledged the efforts of Graham from Edexcel in putting these packs together.

Likewise the Gold papers etc.

Reply 59

Ayman!

I haven't started on matrices yet, and I'll be needing to revise vectors as well. Can anyone tell me what the matrices chapter is like? Seems a little drab.