8 ms·
Visually, the rotation part makes it much less intuitive than writing the result matrix next to the first operand and the second operand above the result matrix
by d--b 5y ago
Visually, the rotation part makes it much less intuitive than writing the result matrix next to the first operand and the second operand above the result matrix
- drhodes 5y agoDenis Auroux explains that way of seeing it, https://youtu.be/bHdzkFrgRcA?t=1404 https://youtu.be/bHdzkFrgRcA?t=1404
- neosat 5y agoso useful - thanks!
- deleted 5y ago[deleted]
- tinalumfoil 5y agoI agree. Matrix multiplication can pretty succinctly be defined in terms of the dot product between the row and column of the inputs at the corresponding spot in the output. When I first learned I already new a little about the properties of dot products so it made the “magical” properties of matrix multiplication more understandable. Maybe not the way a mathematician would define it — they might look at dot products as a special case of matrix multiplication thus teach the latter first — but it was at least intuitive.
- im3w1l 5y agoI think mathematicians will usually be aware of many ways of defining something. Because different definitions will suggest different approaches to a problem, and suggest different ways to generalize a concept. Yours is an important one.
- bee_rider 5y agoIt can be nice to help visualize, though, for example if you have a block matrix and you know some blocks have particular properties, it can be helpful to imagine the steps of an algorithm as various blocks sliding across each other.