MathDB
Miklós Schweitzer 1961- Problem 5

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November 22, 2015
college contests

Problem Statement

5. Determine the functions GG defined on the set of all non-zero real numbers the values of which are regular matrices of order 22, and the functions ff mapping the two-dimensional real vector space E2E_2 into itself, such that for any vector y∈E2y \in E_2 and for any regular matrix XX of order 22, f(Xy)=G(detX)Xf(y)f(X_y)= G(det X)Xf(y) (detXdet X denotes the determinant of XX).(A. 5)
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