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Unformatted text preview: 1 Math 2331 HW 2 Key Problem 1: (2 points each) If & = Â¡ 1 2 0 1 1 2 0 4 2 Â¢ , Â£ = Â¡ 1 3 5 Â¢ , Â¤ = Â¡ 1 1 1 Â¢ , Â¥ = Â¡ 1 Â¢ , a) 1 2 1 1 1 0 1 0 2 1 4 2 Ai = + + = b) 1 2 3 1 1 1 1 1 2 4 4 2 6 Aw = + + = c) 1 2 7 1 1 3 1 5 2 14 4 2 22 Av = + + = Homework is graded out of 50 points. 2 Problem 2: Consider the following system. & Â¡ Â¢ = 3 2& Â£ 4Â¢ = 12 a) (3 points) Draw the row picture. Since the lines intersect at (4,1), the solution is (4,1). 3 b) (3 points) Draw the column picture. Since 1 1 3 4 1 2 4 12 + = , the solution is (4,1). c) (3 points) Write the system in matrix form Ax b = . 1 1 3 2 4 12 x y = d) (3 points) What is the solution of the system?...
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This note was uploaded on 02/21/2012 for the course MATH 2331 taught by Professor Staff during the Spring '08 term at University of Houston.
 Spring '08
 Staff
 Math, Linear Algebra, Algebra

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