MathDB

6

Part of 1976 Spain Mathematical Olympiad

Problems(1)

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

Source: Spanish Mathematical Olympiad 1976 P6

12/23/2022
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.
Matriceslinear algebramatrix