Theorems · Theorem · linear algebra
Matrix.transpose_mul_self_isDiag_iff_hasOrthogonalCols
∀ {α : Type u_1} {n : Type u_4} {m : Type u_5} [inst : Fintype m] [inst_1 : Mul α] [inst_2 : AddCommMonoid α]
{A : Matrix m n α}, (A.transpose * A).IsDiag ↔ A.HasOrthogonalCols- Defined in
- Mathlib.LinearAlgebra.Matrix.IsDiag
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- FintypeMulAddCommMonoid
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- AddCommMonoidstatement and proof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Matrix.transposestatement · cited by 389
- Matrix.IsDiagstatement · cited by 25
- Matrix.HasOrthogonalColsstatement · cited by 7
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