NounPronunciation/ˈkəːnəl/ listenSynonymNull spaceMeaningA kernel is an inverse image of 0, solution of the system of linear equations Ax = 0, where A is a matrix. It is denoted by Ker(A). ExampleThe kernel consisting of vectors (x, y, z) satisfies, for instance, this
.
The task is to solve
,
which can be computed by Gaussian elimination.
EtymologyOld English cyrnel, diminutive of corn seed, grain, corn n.1 < Old Germanic kurnilo-. Compare (without umlaut) Middle High German kornel a grain, Middle Dutch cornel coarse mealSourceOED
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