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invertible

invertible

8.6
Another action can reverse it to get the original, for example a function or matrix
  • adjective
  • /ɪnˈvɜːrtəbl/
  • Specialized
translation icon : invertible
  • In fact, feasible functions should be smooth, invertible functions of a chosen one. Then the result was extended to a multiple input case.

We can arbitrarily transform the factors by an invertible transformation in the K space.

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Examples

  • That's why it's not invertible here, I guess.

  • But yeah, so let's pretend it's invertible, OK, Right.

  • The matrices should be invertible, right?

  • This is the set of all two by two invertible matrices with complex entries.

  • And when A is invertible, Sigma inverse exists.

  • Provided the eigenvalues are distinct, U is invertible and Q = UDU⁻¹,

    Academic text (2010)
  • More generally, the receiving antennas may receive correlated (that is, similar) signals, so that although G may be invertible, the inversion procedure is very sensitive to noise.

    Academic text (2001)
  • (Mathematically, they are receiving linearly dependent signals—we would say that G is not of full rank or is not invertible.)

    Academic text (2001)
  • In linear algebra, a matrix is considered invertible if it has a unique inverse that can be multiplied with it to yield the identity matrix.

  • To solve the equation, we need to ensure that the coefficient matrix is invertible so that we can find a solution.

Synonyms

nonsingular
vsinvertible
  • Specialized
8.8

A matrix or equation with one solution that can be inverted

applies to any mathematical object that has an inverse rather than only matrices

Antonyms

non-invertible
  • Specialized
9.9

Cannot be reversed to get back the original input

How Invertible

invertible
  • Specialized
8.6
nondegenerate
  • Specialized
9.8

Surface Forms

invertible positive

Morphology

invertible = invert (transparent) = invert + ible

Standard adjectival formation from the verb 'invert' with '-ible' meaning 'able to be'; meaning 'able to be inverted' is directly derived.

Etymology

Invertible comes from the parts in- and vert, where vert means 'to turn' and in- gives the idea of 'back'. So an invertible thing is 'able to be turned back', which is why in math it has an inverse that undoes what it does.