rank
measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by a matrix
Press Enter · cited answer in seconds
0 sources
rank
Summary
rank is an invariant[1]. rank ranks in the top 8% of invariant entities by monthly Wikipedia readership (3,360 views/month).[2]
Key Facts
- rank's instance of is recorded as invariant[3].
- rank is a type of integer-valued function[4].
- rank is a type of subadditive function[5].
- rank's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[6].
- rank's codomain is recorded as set of non-negative integers[7].
- rank's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- rank's invariant under is recorded as change of basis[9].
- rank's invariant under is recorded as matrix transposition[10].
Body
Definition and Type
rank's instance of is recorded as invariant[3]. Recorded subclass of include integer-valued function[4] and subadditive function[5].
Why It Matters
rank ranks in the top 8% of invariant entities by monthly Wikipedia readership (3,360 views/month).[2] rank has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[11] rank is known by 57 alternative names across languages and contexts.[12]