Theorems · Theorem · linear algebra
Matrix.conjTranspose_apply
∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : Star α] (M : Matrix m n α) (i : m) (j : n),
M.conjTranspose j i = star (M i j)Tell simp what the entries are in a conjugate transposed matrix.
Compare with mul_apply, diagonal_apply_eq, etc.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
- Assumes
- Star
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- Star.starstatement · cited by 1,082
- Starstatement and proof · cited by 496
- Matrix.conjTransposestatement · cited by 202
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.IsHermitian.coe_re_apply_selfproof · cited by 1