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Apr 4, 2022 at 11:09 history edited DMGregory CC BY-SA 4.0
Updated to reflect new drawings
Apr 4, 2022 at 2:55 comment added kale hops I fixed the drawings
Apr 4, 2022 at 2:43 vote accept kale hops
Apr 4, 2022 at 2:42 comment added kale hops yea, my mistake, each circle in my drawing is supposed to mean one scalar product of one component of the vector by one basis vector of the matrix, so the final vector is a sum of all those scalar products.
Apr 4, 2022 at 2:38 comment added DMGregory These interpretations are equivalent, but then the circles around your output vector should encompass the whole vector, not just one component, since each basis vector contributes to all four components.
Apr 4, 2022 at 2:33 comment added kale hops I think of matrix multiplication as a linear combination of basis vectors, where the vector being transformed is an array of weights. Sums of dot products are confusing to me, so thats the source of my confusion.
Apr 4, 2022 at 2:26 history answered DMGregory CC BY-SA 4.0