Mathlib Map

Theorems · Theorem · linear algebra

Matrix.transpose_smul

∀ {m : Type u_2} {n : Type u_3} {α : Type v} {R : Type u_10} [inst : SMul R α] (c : R) (M : Matrix m n α),
  (c • M).transpose = c • M.transpose
Defined in
Mathlib.LinearAlgebra.Matrix.Defs
Cited by
6 results in Mathlib
Foundations
Depth 15 from the axioms · uses Quot.sound
Assumes
SMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.adjugate_mul · cited by 6Matrix.adjugate_mulMatrix.transpose_nonsing_inv · cited by 3Matrix.transpose_nonsing_…Matrix.IsSymm.smul · cited by 2IsSymm.smulMatrix.det_updateCol_smul_left · cited by 1Matrix.det_updateCol_smul…Matrix.IsHadamard.transpose · cited by 1IsHadamard.transposeMatrix.adjugate_smul · cited by 1Matrix.adjugate_smulMatrix · cited by 4303MatrixMatrix.transpose · cited by 389Matrix.transposeMatrix.transpose_smulCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.