Theorems · Theorem · linear algebra
Matrix.transpose_pow
∀ {m : Type u_2} {α : Type u_11} [inst : CommSemiring α] [inst_1 : Fintype m] [inst_2 : DecidableEq m]
(M : Matrix m m α) (k : ℕ), (M ^ k).transpose = M.transpose ^ k- Defined in
- Mathlib.Data.Matrix.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- map_powproof · cited by 503
- Matrix.transposestatement and proof · cited by 389
- MulOpposite.op_injectiveproof · cited by 37
- Matrix.transposeRingEquivproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.isNilpotent_iff_forall_rowproof · cited by 1
- Matrix.exp_transposeproof · cited by 1
- Matrix.transpose_zpowproof · cited by 1
- Matrix.IsSymm.powproof · cited by 0