Linear Algebra for Video Games - Vector x Scalar, Matrix x Vector, Transformation Matrices

Channel:
United States Bill Kerney
Subscribers:
2,640
Published on ● Video Link: https://www.youtube.com/watch?v=oyxljZxxgPY


Game:
Vector (2012)
Duration: 1:20:56
116 views
3

Today we finished our discussion of linear algebra for gaming (though we might discuss Matrix x Matrix at some point).

The first is pretty simple: multiplying a vector by a scalar. You just multiply each component by the scalar. So [10 -10 40] x 2 = [20 -20 80].

Division obviously works the same way. [10 -10 40] / 2 = [5 -5 20]

Then we talked about what a transformation matrix is, and how it can encode translation, rotation, and scaling all at the same time, and ran through how the math works to multiply a vector (containing a point) through a transformation matrix to get its final location.



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Tags:
is50a
linear algebra
transformation matrix
vector times scalar
matrix times vector
translation
rotation
scaling


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