In linear algebra, the Lewis Carroll identity is an identity involving minors of a square matrix proved by Charles Lutwidge Dodgson (better known by his pseudonym Lewis Carroll), who used it in a method of numerical evaluation of matrix determinants called the Dodgson condensation. From the modern perspective, the Lewis Carroll identity expresses a straightening law in the algebra of polynomial functions of matrices.
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“In proceeding to the dining-room, the gentleman gives one arm to the lady he escorts—it is unusual to offer both.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“Move then with new desires,
For where we used to build and love
Is no man’s land, and only ghosts can live
Between two fires.”
—Cecil Day Lewis (1904–1972)
“She runs so fearfully quick. You might as well try to catch a Bandersnatch!”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“So long as the source of our identity is external—vested in how others judge our performance at work, or how others judge our children’s performance, or how much money we make—we will find ourselves hopelessly flawed, forever short of the ideal.”
—Melinda M. Marshall (20th century)