Multiple Input - Multiple Output (MIMO) wireless technology involves highly complex vectors and matrix computations which are directly related to increased power and area consumption. This paper proposes an area and power efficient VLSI architecture that can serve the dual purpose of minimum norm sorting of rows as well as upper/lower block tri-angularization of matrices. The resources inside the architecture are shared among both operations and only primitive computations are used. Results indicate saving in silicon real estate as well as power consumption compared to previous architecture without degrading performance.