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WikiCards · Card list · Science cards · Rank–nullity theorem
Uncommon card · Science
Rank–nullity theorem, an Uncommon card
The rank–nullity theorem is a theorem in linear algebra, which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity of M, and the dimension of the domain of a linear transformation f is the sum of the rank of f and the nullity of f.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 63
- DEF
- 32
- Power
- 95
- Wikipedia reads a year
- 60,000
Power 95 (ATK + DEF): stronger than 35 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- It follows that for linear transformations of vector spaces of equal finite dimension, either injectivity or surjectivity implies bijectivity.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Rank–nullity theorem article was read about 60,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 63 and blocks with 32: each hit it takes is cut by 13 %.
How to get Rank–nullity theorem
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
More Science cards
Cards close in power
The cards just above and just below Rank–nullity theorem in the power ranking, all domains together.
- InnUncommon · Society · ATK 58 DEF 37
- Carl Theodor DreyerUncommon · Arts · ATK 61 DEF 34
- Multiplicative inverseUncommon · Science · ATK 62 DEF 33
- Rajeev MotwaniUncommon · Science · ATK 58 DEF 37
- Joe RyanUncommon · Society · ATK 58 DEF 37
- Kate RaworthUncommon · Science · ATK 57 DEF 38
Card lists
- Wikipedia quizNew questions every day
- All cards from A to ZEvery card, by name
- Science cards
- Legendary cards
- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Rank–nullity theorem (revision), CC BY-SA 4.0. Photo : ARAKI Satoru, CC BY-SA 4.0, Wikimedia Commons.
