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Unformatted text preview: following matrix. How are their dimensions related? 1 1 2 1 1 01 1 1 2 0 121 3 NAME: 4. [20 points] Solve the following linear system. x 1 + x 2 + x 3 + x 4 = 1 x 1 + x 3 + 2 x 4 = 2 x 1 + x 2 + x 4 = 3 4 NAME: 5. [20 points] Consider the vectors v 1 = ( x1) , v 2 = ( x 21) , v 3 = ( x +1) , and v 4 = x 2 . Can you choose some or all of them to be a basis for P (2) ? Prove your answer. 5...
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This note was uploaded on 02/10/2009 for the course MATH 415 taught by Professor Bertrandguillou during the Spring '08 term at University of Illinois at Urbana–Champaign.
 Spring '08
 BERTRANDGUILLOU
 Math, Linear Algebra, Algebra

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