Theorems · Theorem · linear algebra

Matrix.det_blockDiagonal

∀ {n : Type u_2} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] {o : Type u_3}
  [inst_3 : Fintype o] [inst_4 : DecidableEq o] (M : o → Matrix n n R), (Matrix.blockDiagonal M).det = ∏ k, (M k).det

Defined in

Mathlib.LinearAlgebra.Matrix.Determinant.Basic

Cited by

4 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommRingFintypeDecidableEq