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The graph looks like it's pointing at 9:00
Alright onto the next transformation
One question. If the big hand was pointing at 12:00 (straight up ) and I rotated it 120° what is it pointing at now? I am going on a little munch break, see you soon.
It would be at 12:20 approx.
You can duplicate what the clock did with these lines, alright what is next ?
Notice the center of the clock. The big hand revolves around it. That is (0,0), the origin. It does not move. The other point moves, that is what causes the rotation
Do you mean that when the bigger hand on the clock moves the smaller hand moves but it moves more slowly behind it ? If is this correct then when a matrix is a 2x2 and you move one thing the other thing will lag behind it ?
What I have done is been plotting points on a curve. Yet I'm not understanding what I'm doing when I change the positions. You mentioned we are working with a 2x2 matrix in this case
0,0
0,0
0,0
0,0
Is that all a 2x2 matrix does it in this case change the position ?
2,2-2,2
2,2-2,2
That is just an example of a 2x2 Matrix setup correct?
Arrrgh I'm still not understanding.
Correct, what was it before so I can compare ?
How was the rotation around origin laid out ? This is a 2x2 Matrix correct?
We are doing pure math here, truthfully I have no idea what they are doing. Our matrices are 2 x 2 and 2 x 1. With it we are moving a line around a central point. With just that we could create a graphic of clock hands, speedometer, tachometer etc,
Within that page they are using a 3x3 Matrix, could you give me an example of a 3x3 matrix ? After you help me understand a 2x2 Matrix and a 2x1 and what is the difference between a 2x1 Matrix ?
You originally asked to understand a matrix. This is what we are working on. You wanted to know how a matrix could act upon certain graphical objects. I am showing you the simplest graphical object, a straight line.
I was informed that a matrix can control one aspect of another, as seen on that page I posted that is what I'm trying to understand Unless I won't be able to understand until after understanding 2x1 and 2x2 Matrix ?
Nope. A matrix is a rectangular array of numbers. It does not rotate. The values ( lines in this case ) are transformed. The lines are rotating around the origin like a clock hand does.
I don't understand how since a 3x3 Matrix is 3 rows of 3 relates to your clock hand example? I'm trying to relate what you're saying to what is on this page
Are you saying that a basic thing a matrix does is rotate around a origin ? Do you have another example, that goes into more depth of matrix?
We've rotated around the point of origin ?
Did you draw the points with the settings I gave you? If you did you will see that the line went from 12:00 to 4:00. Why?
I changed the line position formally it was at 12 now it's at 4 ?
That's what the matrix transformation does. This is the basis for motion on the screen. Did you draw the set of points with set graph area 400 X 600 and uncheck show axes?
Yup
From what I understand so far I'm plotting from a origin then one line is going one way the other is going another way while at the same time the origin can control both directions of the lines if I were to rotate the origin ?
What is happening now it seems like all I'm doing is moving points around and making lines.
I hope this is right, other wise you know a simpler program I could start off with and build up eventually ?
I get the graph seen in the image, but I don't understand other then I've plotted some points.
Alright, give me another example where one thing controls another which I know matrix can do but break it up so I can understand
In this case the Matrix rotated around the origin, in other words that is just one thing that a matrix can do, which is rotate around it's origin ?
I don't understand, when you say to rotate around the origin ? Set the Graph to X=600 and Y=500 ?
Give me another example so I can slowly understand.
A Matrix rotates ???
I made the line bigger, Ok I don't quite get it.
What I get is a diagonal line as seen in the image.