lean_workbook_plus_15411

Open

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Find the determinant of the matrix $\begin{vmatrix} a+b & b+c & c+a \ a^2+b^2 & b^2+c^2 & c^2+a^2 \ a^3+b^3& b^3+c^3 & c^3+a^3 \end{vmatrix}$ using row operations.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_15411 (a b c : ℝ) : Matrix.det (![![a+b, b+c, c+a],![a^2+b^2, b^2+c^2, c^2+a^2],![a^3+b^3, b^3+c^3, c^3+a^3]]) = 2*a*b*c*(a-b)*(b-c)*(c-a)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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