transformation – Transforming Matrix – Game Development Stack Exchange

I’m transforming a vector by a matrix to get a transformed vector.

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How do I get this 9×9 matrix and its numbers in 0,0 0,1 0,2 and so on.

The v^A vector is 1,1,0
The v^B vector is 4,1,0

Finally, how do i get the values in the matrix. I do not understand the triangle. I think they mean change, like x2-x1 but i do not get results that make v^B the vector 4,1,0