How to code row vector matrix multiplication via dot products?
We code algorithms to execute row-vector-matrix multiplication via dot products.
00:00 -Introduction
00:05 -Definition of row-vector-matrix multiplication via dot products
01:54 -Recall algorithm: matrix-column-vector multiplication via dot products
02:08 -Pause video: guess the algorithm we desire using previous knowledge
02:32 -Quick review: matrix-column-vector multiplication via dot products
03:01 -Using old code as inspiration to write new code
03:26 -Algorithm 1: row-vector-matrix mult via dot products BLAS Level 2
03:56 -Best practice: reuse our code whenever possible
04:14 -Begin adapting the old code for Algorithm 1
05:00 -Active recall for outer for loop of Algorithm 1
05:45 -Test algorithm 1: compare against MATLAB’s native implementation
06:14 -Visualize algorithm 1 with the data flow
08:18 -How to do row-vector-matrix mult via dot products BLAS Level 1
08:38 -Pause video and guess the inner loop for algorithm 2
09:18 -Algorithm 2: row-vector-matrix mult via dot products BLAS Level 1
09:44 -Code algorithm 2 by adapting old code using active recall technique
12:03 -Pause video and try to visualize algorithm 2 with the data flow
12:15 -Visualize algorithm 2 with the data flow
14:23 -Challenge 1A: Remember all 8 matrix-vector multiplication algorithms
15:05 -Challenge 1B: Create a “cheat sheet” with the main takeaways
15:30 -Challenge 2: Relate these algorithms to matrix-matrix multiplication?
15:40 -Challenge 3: Generate specification list for matrix-vector mult function
16:15 -Conclusion