Theorems · Theorem · linear algebra

Matrix.fromBlocks_diagonal_pow

∀ {m : Type u_2} {n : Type u_3} {α : Type u_12} [inst : Semiring α] [inst_1 : Fintype n] [inst_2 : Fintype m]
  [inst_3 : DecidableEq n] [inst_4 : DecidableEq m] (A : Matrix n n α) (D : Matrix m m α) (k : ℕ),
  Matrix.fromBlocks A 0 0 D ^ k = Matrix.fromBlocks (A ^ k) 0 0 (D ^ k)

Defined in

Mathlib.Data.Matrix.Block

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringFintypeFintypeDecidableEqDecidableEq