Theorems · Theorem · linear algebra

Matrix.zpow_one_add

∀ {n' : Type u_1} [inst : DecidableEq n'] [inst_1 : Fintype n'] {R : Type u_2} [inst_2 : CommRing R]
  {A : Matrix n' n' R}, IsUnit A.det → ∀ (i : ℤ), A ^ (1 + i) = A * A ^ i

Defined in

Mathlib.LinearAlgebra.Matrix.ZPow

Cited by

0 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommRing