Mathlib Map

Theorems · Definition · linear algebra

Matrix.vecMulVec

{m : Type u_2} → {n : Type u_3} → {α : Type v} → [Mul α] → (m → α) → (n → α) → Matrix m n α

For two vectors w and v, vecMulVec w v i j is defined to be w i * v j. Put another way, vecMulVec w v is exactly replicateCol ι w * replicateRow ι v for Unique ι; see vecMulVec_eq.

Defined in
Mathlib.Data.Matrix.Mul
Cited by
52 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
Mul

Around this declaration

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

Cites3

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

Cited by53

Results whose statement or proof uses this declaration.