FP1 Matrix image question edexcel?

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Moordland
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#1
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#1
Does it matter in which way the transformation of the co-ordinates are i.e. whether the A co-ordinate or B co-ordinate of a triangle is first? Do you have to label the co-ordinates as being that specific one 2nd etc.

For example on this video, how do you know which co-ordinate is B if given the question in an exam where B is not stated.

https://www.youtube.com/watch?v=G7ikBJB243M

Thanks!
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TeeEm
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#2
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#2
(Original post by Moordland)
Does it matter in which way the transformation of the co-ordinates are i.e. whether the A co-ordinate or B co-ordinate of a triangle is first? Do you have to label the co-ordinates as being that specific one 2nd etc.

For example on this video, how do you know which co-ordinate is B if given the question in an exam where B is not stated.

https://www.youtube.com/watch?v=G7ikBJB243M

Thanks!
I haven't watched the video but if I understand the question correctly you can transform the vertices in any order (nothing special about them)
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Moordland
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#3
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#3
(Original post by TeeEm)
I haven't watched the video but if I understand the question correctly you can transform the vertices in any order (nothing special about them)
Oh right I see, so as long as the final coordinates are correct then the position of them within the final matrix (answer) does not matter then?
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TeeEm
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#4
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#4
(Original post by Moordland)
Oh right I see, so as long as the final coordinates are correct then the position of them within the final matrix (answer) does not matter then?
correct

A maps into A'
B maps into B'
C maps into C'

but you can put them in any order
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Moordland
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#5
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#5
(Original post by TeeEm)
correct

A maps into A'
B maps into B'
C maps into C'

but you can put them in any order

Thank you very much repped.
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TeeEm
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#6
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#6
(Original post by Moordland)
Thank you very much repped.
you are welcome
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ghostwalker
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#7
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#7
(Original post by Moordland)
...

(Original post by TeeEm)
...
Perhaps totally obvious, but for the benefit of other readers.

The order in which you do the points doesn't matter.

But, refering to the equation at the end of the video, if the matrix prior to transformation is (B,C,A) as column vectors, then after transformation the matrix is (B',C',A'). The order doesn't change - the order prior to transformation is the same as that afterwards.
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TeeEm
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#8
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#8
(Original post by ghostwalker)
Perhaps totally obvious, but for the benefit of other readers.

The order in which you do the points doesn't matter.

But, refering to the equation at the end of the video, if the matrix prior to transformation is (B,C,A) as column vectors, then after transformation the matrix is (B',C',A'). The order doesn't change - the order prior to transformation is the same as that afterwards.
I thought I was clear, but maybe I was not.

thanks
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Moordland
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#9
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#9
Thank you both, both responses were clear.

Final question, then if something similar were to come up in future:

Would I have to define my co-ordinates as column vectors, or is it not necessary to say which point you are mapping where, i.e.:

If C = (1)
(0)

And its new image for this point is (0)
(1)

Do I have to declare this in a manner as such, provided that there are other coordinates combined.

(Original post by ghostwalker)
Perhaps totally obvious, but for the benefit of other readers.

The order in which you do the points doesn't matter.

But, refering to the equation at the end of the video, if the matrix prior to transformation is (B,C,A) as column vectors, then after transformation the matrix is (B',C',A'). The order doesn't change - the order prior to transformation is the same as that afterwards.
(Original post by TeeEm)
I thought I was clear, but maybe I was not.

thanks
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TeeEm
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#10
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#10
(Original post by Moordland)
Thank you both, both responses were clear.

Final question, then if something similar were to come up in future:

Would I have to define my co-ordinates as column vectors, or is it not necessary to say which point you are mapping where, i.e.:

If C = (1)
(0)

And its new image for this point is (0)
(1)

Do I have to declare this in a manner as such, provided that there are other coordinates combined.
I tend to write above the column vectors A,B,C, etc

and on the image matrix above the column vector A', B', C' etc
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Moordland
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#11
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#11
(Original post by TeeEm)
I tend to write above the column vectors A,B,C, etc

and on the image matrix above the column vector A', B', C' etc
Thank you that is perfect :d
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TeeEm
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#12
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#12
(Original post by Moordland)
Thank you that is perfect :d
no worries
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