Practice question · Match the pairs
Match each concept to its definition.
- Linear combination
- Span
- Basis
- Dimension
- Scaled vectors added together
- Number of vectors in any basis
- Everything reachable by combinations
- Independent set that spans the space
Hints
- Separate building from reaching from counting.
- One term names the minimal set that reaches everything.
Show the answer
- Linear combination → Scaled vectors added together
- Span → Everything reachable by combinations
- Basis → Independent set that spans the space
- Dimension → Number of vectors in any basis
Why
Build, reach, coordinate, count, the four-word ladder of vector-space theory.
Practise Vector Spaces
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