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Frobenius introduced the concept of matrix range in 1879. In today's newspaper. Fermas ，86， 1879， 146-208 = ges。 He said: abh. 1, 482-544.

Especially rang, I didn't type it wrong. Frobenius is German, so this is German, which means: grade, classification, class, theater building.

China's rank means: the original meaning, the official salary determined according to merits and demerits; Extended meaning, according to the rank of officials to evaluate their achievements; In extension, order.

And the meaning of English rank: class, rank, rank, order, order, rank.

So we can roughly infer that people who translate into grades mainly want to express the meaning of grades. Moreover, the ranks of different matrices have sizes, high and low.

Rank comparison is often used, from judging whether the linear equations are solvable and the solution is unique to judging whether the regular value, critical value and mapping of the function are immersed. Therefore, the meaning of distinguishing and comparing sizes implied by rank is more suitable for translation.

I didn't find out who translated the word rank, so all the above are guesses. I hope my friends can tell me what they know. The punctuation of mobile phone typing is not standardized, please forgive me.

References:

1.m Klein, Ancient and Modern Mathematical Thoughts (3), Shanghai Science and Technology Publishing House, 1980.

2.Katz, V.J., General Theory of Mathematical History, Higher Education Press, 2004.

3. F. Klein,1the development of mathematics in the 9th century, Higher Education Press, 20 1 1.