Practice question · Match the pairs
Match each object to its role in the product.
- Row of
- Column of
- Inner dimension
- Identity matrix
- Sweeps across to build row of
- Must match, then vanishes from the result
- Multiplies without changing anything
- Received: builds column of
Hints
- One factor supplies rows, the other supplies columns.
- The shared dimension is where the two meet.
Show the answer
- Row of → Sweeps across to build row of
- Column of → Received: builds column of
- Inner dimension → Must match, then vanishes from the result
- Identity matrix → Multiplies without changing anything
Why
Rows act, columns receive, the inner dimension is the handshake, and is the do-nothing transformation.
Practise Matrix Product
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