MathDB
2 matrices wanted, one symmetric and one antisymmetric, with sum given matrix

Source: Spanish Mathematical Olympiad 1976 P6

December 23, 2022
Matriceslinear algebramatrix

Problem Statement

Given a square matrix MM of order nn over the field of numbers real, find, as a function of MM, two matrices, one symmetric and one antisymmetric, such that their sum is precisely M M.
Back to ProblemsView on AoPS