2331_hw2_key - 1 Math 2331 HW 2 Key Problem 1(2 points each If& = 1 2 0 1 1 2 0 4 2 ¢ £ = 1 3 5 ¢ ¤ = 1 1 1 ¢ ¥ = 1 ¢ a 1 2 1 1 1

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Unformatted text preview: 1 Math 2331- HW 2 Key Problem 1: (2 points each) If & = ¡ 1 2 0 1 1 2 0 4 2 ¢ , £ = ¡ 1 3 5 ¢ , ¤ = ¡ 1 1 1 ¢ , ¥ = ¡ 1 ¢ , 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. & ¡ ¢ = 3 2& £ 4¢ = 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.

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2331_hw2_key - 1 Math 2331 HW 2 Key Problem 1(2 points each If& = 1 2 0 1 1 2 0 4 2 ¢ £ = 1 3 5 ¢ ¤ = 1 1 1 ¢ ¥ = 1 ¢ a 1 2 1 1 1

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