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- DictionaryRank/raNGk/
noun
- 1. a position in the hierarchy of the armed forces: "an army officer of fairly high rank"
- 2. a single line of soldiers or police officers drawn up abreast: "they were drawn up outside their barracks in long ranks"
verb
- 1. give (someone or something) a rank or place within a grading system: "she is ranked number four in the world"
- 2. arrange in a rank or ranks: "the tents were ranked in orderly rows"
Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics. The rank is commonly denoted by rank(A) or rk(A); sometimes the parentheses are not written, as in rank A.
v. to (cause to) be assigned to a particular position, class, standing, etc.: [ ~ + object] to be ranked among the experts. [ ~ + object + as + object] They ranked him as one of the best pitchers in the world. [ no object* not: be + ~-ing] Their work ranked well above that of the other students. Idioms, break ranks:
rank. [transitive, intransitive] to give someone or something a particular position on a scale according to quality, importance, success, etc.; to have a position of this kind rank somebody/something (+ adv./prep.) The tasks have been ranked in order of difficulty.
Define Rank. Rank is a term used to describe the position or status of something or someone in relation to others. It is a measure of how well or poorly something or someone performs in comparison to others. Ranks are typically expressed in terms of numerical values, such as first, second, third, or last.
Definition: an enlisted man ranking in the army above a private and below a corporal and in the marine corps above a private and below a lance corporal.
3 days ago · Rank of a matrix is defined as the number of linearly independent rows in a matrix. It is denoted using ρ (A) where A is any matrix. Thus the number of rows of a matrix is a limit on the rank of the matrix, which means the rank of the matrix cannot exceed the total number of rows in a matrix.
rank, adj. & adv. meanings, etymology, pronunciation and more in the Oxford English Dictionary.
