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Condensation of Determinants

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Condensation of Determinants, Being a New and Brief Method for Computing their Arithmetical Values, is by Lewis Carroll. The paper is from the Proceedings of the Royal Society of London and is marked as received on May 15, 1866. The paper says that to solve a set of simultaneous linear equations, not being all homogeneous, by the method of determinants, it is necessary to compute the arithmetical values of one or more determinants.

The paper says the only method hitherto employed, so far as the writer is aware, is that of multiplying each term of the first row or column by the determinant of its complemental minor. The writer proposes a new method of computation, for which Condensation appears to be an appropriate name, and believes it will be found far shorter and simpler than any hitherto employed. The paper uses the word Block for any number of terms arranged in rows and columns.

Mathematics

About the author

Lewis Carroll

Charles Lutwidge Dodgson, better known by his pen name Lewis Carroll, was an English author, poet, mathematician, photographer and reluctant Anglican deacon. His most notable works are Alice's Adventures in Wonderland (1865) and its sequel Through the Looking-Glass (1871), some of the most important examples of Victorian literature.

More by Lewis Carroll

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Book facts

Author: Lewis Carroll
Reading time: About 10 minutes
Pages: 13
Language: English
Genre: Mathematics
Formats: PDF, EPUB, Read online