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Theorems · Definition · linear algebra

Matrix.updateCol

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

Update, i.e. replace the jth column of matrix A with the values in b.

Defined in
Mathlib.LinearAlgebra.Matrix.RowCol
Cited by
45 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.updateRow_transpose · cited by 12Matrix.updateRow_transposeMatrix.updateCol_ne · cited by 11Matrix.updateCol_neMatrix.updateCol_self · cited by 11Matrix.updateCol_selfMatrix.updateCol_apply · cited by 8Matrix.updateCol_applyMatrix.cramer_apply · cited by 7Matrix.cramer_applyPolynomial.resultant_C_mul_right · cited by 5Polynomial.resultant_C_mu…Matrix.updateCol_transpose · cited by 5Matrix.updateCol_transposeMatrix.adjugate_transpose · cited by 5Matrix.adjugate_transposeMatrix.updateCol_submatrix_equiv · cited by 3Matrix.updateCol_submatri…Matrix.updateCol.congr_simp · cited by 3updateCol.congr_simpMatrix.updateCol_eq_self · cited by 2Matrix.updateCol_eq_selfMatrix.cramerMap · cited by 2Matrix.cramerMapMatrix.cramer_transpose_row_self · cited by 2Matrix.cramer_transpose_r…Continuous.matrix_updateCol · cited by 2Continuous.matrix_updateC…Matrix.det_updateCol_smul · cited by 2Matrix.det_updateCol_smulDFunLike.coe · cited by 62936DFunLike.coeMatrix · cited by 4303MatrixFunction.update · cited by 502Function.updateMatrix.of · cited by 336Matrix.ofMatrix.updateColCITED BYCITES

Cites4

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

Cited by46

Results whose statement or proof uses this declaration.