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Theorems · Definition · linear algebra

Matrix.TransvectionStruct.sumInl

{n : Type u_1} → (p : Type u_2) → {R : Type u₂} → Matrix.TransvectionStruct n R → Matrix.TransvectionStruct (n ⊕ p) R

Given a TransvectionStruct on n, define the corresponding TransvectionStruct on n ⊕ p using the identity on p.

Defined in
Mathlib.LinearAlgebra.Matrix.Transvection
Cited by
4 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext
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Matrix.TransvectionStruct.toMatrix_sumInl · cited by 2TransvectionStruct.toMatr…Matrix.TransvectionStruct.mul_sumInl_toMatrix_prod · cited by 1TransvectionStruct.mul_su…Matrix.TransvectionStruct.sumInl_toMatrix_prod_mul · cited by 1TransvectionStruct.sumInl…Matrix.Pivot.exists_list_transvec_mul_mul_list_transvec_eq_diagonal_induction · cited by 1Pivot.exists_list_transve…Matrix.TransvectionStruct · cited by 42Matrix.TransvectionStructMatrix.TransvectionStruct.i · cited by 7TransvectionStruct.iMatrix.TransvectionStruct.j · cited by 6TransvectionStruct.jMatrix.TransvectionStruct.c · cited by 5TransvectionStruct.cTransvectionStruct.sumInlCITED BYCITES

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