The Anatomy of matrix-matrix multiplication
We explore the anatomy of the matrix-matrix multiplication (MMM) operation.
00:00 -Introduction
00:08 -Intro to right matrix-matrix multiplication
00:18 -Intro to left matrix-matrix multiplication
00:31 -Right matrix-matrix multiplication: notation and terminology
01:12 -In right MMM, modeling matrix is in left factor
01:31 -In right MMM, hit modeling matrix on right with algebraic worker
01:42 -Verbal description of right matrix-matrix multiplication
02:14 -In right MMM, the inner dimensions must agree
02:58 -Definition: matrix A is conformable to right MMM by matrix X
04:02 -In left MMM, modeling matrix is in right factor
04:16 - In right MMM, hit modeling matrix on left with algebraic worker
05:15 -Verbal description of left matrix-matrix multiplication
05:51 -Use habit in linear algebra: analyze the dimensions
05:57 -In right MMM, the inner dimensions must agree
06:51 -Definition: matrix A is conformable to left MMM by matrix X
07:21 -Challenge 1: When do we use right MMM?
07:44 -Challenge 2: When do we use left MMM?
08:21 -Conclusion