Theorems · Theorem · linear algebra

Matrix.trace_transpose_mul

∀ {m : Type u_2} {n : Type u_3} {R : Type u_6} [inst : Fintype m] [inst_1 : Fintype n] [inst_2 : AddCommMonoid R]
  [inst_3 : Mul R] (A : Matrix m n R) (B : Matrix n m R), (A.transpose * B.transpose).trace = (A * B).trace

Defined in

Mathlib.LinearAlgebra.Matrix.Trace

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeFintypeAddCommMonoidMul