Linear Algebra › Section B · Matrix algebra › Topic B.4
Partitioned (block) matrices
A big matrix often has natural pieces: one block for each part of a system, or tiles small enough for a computer to handle quickly. Partitioning lets you do matrix algebra with those pieces as if they were single numbers, as long as you respect their sizes and their order.
In this topic
- Seeing a matrix in pieces
- Partitioning a matrix
- Sums and scalar multiples
- Multiplying block matrices
- Worked example: a product in blocks
- Columns times rows
- Worked example: a column-row expansion
- Inverting block triangular matrices
- Why computers like blocks
- Common mistakes to avoid
- Key takeaways
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