Theorems · Definition · linear algebra
Matrix.IsTwoBlockDiagonal
{l : Type u_1} →
{m : Type u_2} → {n : Type u_3} → {o : Type u_4} → {α : Type u_12} → [Zero α] → Matrix (n ⊕ o) (l ⊕ m) α → PropA 2x2 block matrix is block diagonal if the blocks outside of the diagonal vanish
- Defined in
- Mathlib.Data.Matrix.Block
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- Zero
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.
- Matrixstatement and proof · cited by 4,303
- Matrix.toBlocks₂₁proof · cited by 8
- Matrix.toBlocks₁₂proof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.Pivot.exists_isTwoBlockDiagonal_list_transvec_mul_mul_list_transvecstatement and proof · cited by 1
- Matrix.Pivot.exists_isTwoBlockDiagonal_of_ne_zerostatement and proof · cited by 1
- Matrix.Pivot.isTwoBlockDiagonal_listTransvecCol_mul_mul_listTransvecRowstatement · cited by 1