Trying to about vectors and matrices to aid my game design hobby

AI Thread Summary
The discussion focuses on a newcomer to game design seeking help with vectors and matrices, particularly in relation to C# and XNA. The user is learning the basics of vectors but struggles with matrices and has posed specific mathematical questions about matrix multiplication and rotation matrices. They request guidance on calculating A x B2 and writing a rotation matrix for a 2D object rotated counterclockwise by 45 degrees. Additionally, they inquire about the new coordinates of a triangle's vertices after the same rotation. The community responds by providing resources and encouragement to assist with these concepts.
silverspawn
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Hello

Just took on a new hobby..being game design know a little c# and decided to try my hand at xna...the problem is I am also trying my hand at vectors and matrices also, as I know this with gaming goes hand in hand.

Kinda picking up the basics to vectors but with matrices not got a great deal of knowledge or lit on the topic

I came across these but not sure how to work it out;


A =(1 -2 3) (3 1 5) (0 1 -3) B = ( 1 -8) (-9 8 )(2 4 )


Find A x B2 (a) write out the rotation matrix that rotates an 2D object counterclockwise by 45 degrees by the coordinate origin.

b) suppose the three vertices of a triangle are A(0,0), B(10,5) and C(5,8) .Where are the vertices after the triangle is rotated counterclockwise 45 degrees by the coordinate origin?

Any help guidance would be greatful
 
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