I understand how to compute matrix multiplication and rules of it such as matching the row and columns etc. but I am trying to understand why the final values make sense as vs to the dot product?
Why do you have to multiply both row and column and do the sum to come out a final value in a new matrix, I don’t understand how this math logic work?
So you multiply tensor a*w , w means weight tensor and come out a new tensor, should this be like a dot product?
If anyone with deeper understand of this logic, please share in graph.
Matrix multiplication is exactly a series of dot products calculated in parallel. When you multiply your input tensor (rows) by the weight tensor (columns), you are doing a standard dot product—multiplying matching elements and summing them up to combine multiple individual feature scores into one single, aggregate final value. Think of it just like generating a Free Destiny Matrix Chart: you don’t look at numbers in isolation; instead, you cross-multiply your birth date energies with specific life columns (like love or money) and sum them together to unlock your final unified chart reading!