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B U Department of MathematicsMath 201 Matrix TheorySummer 2005 Second MidtermThis archive is a property of Bo˘gazi¸ci University Mathematics Department. The purpose of this archive is to organise and centralise the distribution of the exam questions and their solutions.This archive is a non-profit service and it must remain so. Do not let anyone sell and do not buy this archive, or any portion of it. Reproduction or distribution of this archive, or any portion ofit, without non-profit purpose may result in severe civil and criminal penalties.1.) Find anorthonormalset of vectorsq1,q2,q3inR3for whichq1,q2span the column space of111-1-2-4