KnowraMatrix inverseLinked fromLinked fromThe 9 pages that link to Matrix inverse, each with the reason it gives.All 9Broader topic 2Related 5Narrower topic 2Invertible matrixBroader topic: This is the matrix that makes the defining product equal the identity.LU decompositionRelated: Factored solves can compute inverse columns without treating inversion as a separate operation.Cayley–Hamilton theoremRelated: For an invertible matrix, the theorem can express A⁻¹ as a polynomial in A.Inverse elementBroader topic: Matrix multiplication illustrates inverses in a generally noncommutative operation.Cramer's ruleRelated: Applying the inverse to the right-hand side gives the same solution Cramer's rule expresses by determinants.Diagonal matrixRelated: A diagonal matrix is invertible exactly when every diagonal entry is nonzero; its inverse reciprocates them.Triangular matrixRelated: An invertible triangular matrix has a triangular inverse of the same orientation.Sherman–Morrison formulaNarrower topic: The formula computes the inverse after perturbing an already invertible matrix.Woodbury matrix identityNarrower topic: The identity updates this inverse rather than recomputing it from scratch.