What is...

Here are some easy-to-forget terms in linear algebra. Check whether you are familiar with them all.

Set

1. Power set, or \(P(A)\) and \(2^A\) for a set \(A\).

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Group and Field

1. Semigroup.
2. Monoid.
3. Group, or \(\langle G:\circ\rangle\).
4. Abelian group.
5. Field, or \(\langle F:+, \circ\rangle\).

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Vector Space

1. Dimension, or \(\dim V\).
2. Rank, or \(\operatorname{rank} A\).
3. For \(W_1, W_2\leq V(\mathbf{F})\), what is \(W_1+W_2\), \(W_1\oplus W_2\).
4. Inner product space.
5. Euclidean space.
6. Schmidt orthonormalization.

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Last update: 2023-11-13
Created: 2023-10-27