3x3 Matrix Visualization
Sometimes it's convenient to think of matrices as transformations. For the 3x3 case this is particularly intuitive, as we can visualize how a certain matrix transforms standard x/y/z basis vectors, or a unit cube defined by these. Then we can see how each column of the matrix actually represents the coordinates defining the transformed basis vectors in the original frame. play around with this toy to get a sense of what different matrices do to the unit cube/standard basis.
figure 1 : matrix A visualized transforming a unit cube, and the identity basis vectors.
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© 2018 Kevin Bergamin.