A simple demonstration of the existence of the jordan canonical form for any square matrix

All the demonstrations known to this author of the existence of the Jordan Canonical Form are somewhat complex - usually invoking the use of new spaces, and what not. These demonstrations are usually too difficult for an average Mathematics student to understand how he or she can obtain the Jordan Canonical Form for any square matrix. The method here proposed not only demonstrates the existence of such forms but, additionally, shows how to find them in a step by step manner. I do not claim that the following demonstration is in any way “elegant” (by the standards of elegance in fashion nowadays among mathematicians) but merely simple (undergraduate students taking a fist course in Matrix Algebra would understand how it works).

The role of law and public-private collaboration in promoting innovative firms in Brazil: the case of the BNDES and the “criatec fund”

This paper presents the result of a qualitative empirical research about the “Criatec Fund”, a venture capital fund, privately managed and directed to innovative firms, that was created in 2007 by the Brazilian Development Bank (BNDES). The paper discusses the role of law in the implementation of the Criatec Fund in three different legal dimensions: structural, regulatory and contractual. Based on interviews, this paper tries to test some hypothesis previously formulated by some scholars that studied new financial policies created by the BNDES. This study explains the institutional arrangements of this seed capital policy and the role of flexible legal instruments in the execution of this peculiar type of publicprivate partnership. It also poses some questions to the “law and development agenda” based on some insights from the economic sociology of law.