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Faculty of MathematicsUniversity of WaterlooMath 235Midterm - Winter 2014Time:4:30 - 6:20 pmDate:Feb 11th, 2014.Family Name:First Name:I.D. Number:Signature:Section 01D. Pareja (9:30)Section 02C. Ng (11:30)Your answers must be stated in a clear and logical form andyou must show all of your steps in order to receive full marks.Instructions:1. Completetheinformationsectionabove, indicating your section by acheck mark in the appropriate box.2. Place your initials at the top cornerof each page in the space provided.3. Make sure you have all the pages andobserve the test is double-sided.4. Answer the questions in the spacesprovided,usingthelastpageforoverflow work and making indica-tions that work is to be continuedthere.5. No calculators are allowed.QuestionMarkValue1426364654647486Total40This study resource wasshared via CourseHero.com
Math 235 - MidtermPage 2 of 8Initials:1. LetA=; its row-reduced echelon form isR=. Find bases for the fourfundamental subspaces ofA.121301100100