How to prove the multiplication rule of block matrix? Who can write down the proof process, or take photos and upload it

How to prove the multiplication rule of block matrix? Who can write down the proof process, or take photos and upload it


The multiplication rule of block matrix is defined. As long as the requirement of block is satisfied (the number of columns of left multiplication matrix is equal to the number of rows of right multiplication matrix), the multiplication of general matrix is OK



How to prove the rationality of matrix block multiplication


This definition should be able to prove, but it involves the disassembly of summation minus sign. The process is very complicated, and there is no technical content, so we should be careful. This property can be used directly, and we should pay attention to the corresponding number of rows and sequences of blocks



Right handed spiral law
Is the direction of the thumb S-pole or N-pole? Is the direction of the thumb the direction of the current?


The direction of the thumb is N-pole
The bending direction of the four fingers is the direction of the current