Discrete Mathematics by Sridharan Sriraman; Balakrishnan R.;

Author:Sridharan, Sriraman; Balakrishnan, R.;
Language: eng
Format: epub
Publisher: CRC Press LLC
Published: 2019-07-05T00:00:00+00:00

where A11 is 3 × 2, A12 is 3 × 2, A21 is 2 × 2 and A22 is 2 × 2.

We now partition B as

where B11 and B21 have two rows each. Hence B12 and B22 have also two rows each. This forces B11 and B21 to have two columns each while B12 and B22 have each one column. This gives

and we find that the matrix on the right, on simplification, does indeed yield the product AB.

Note that it is not enough if we simply partition the matrices A and B. What is important is that the partitioned matrices should be conformable for multiplication. This means, in the above example, that the 8 products A11B11, A12B21, …A22B22 are all defined.

The general case is similar.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.