practice_test4

Practice_test4 - Practice Test 4 Math 2602 Name Spring 2006(1 The following matrix is in the form[A|b How many solutions are there to the equation

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Practice Test 4 Name: Math 2602 Spring 2006 (1) The following matrix is in the form [ A | ~ b ] . How many solutions are there to the equation A~x = ~ b ? Give a brief explaination of how you know. 6 3 2 1 4 0 5 4 2 3 0 4 4 5 1 0 9 8 7 4 (2) Find the inverse for the following matrix: 3 6 6 0 2 2 3 8 12 (3) Fill in the last line of the following matrix [ A | ~ b ] so that A~x = ~ b has no solutions: 6 3 2 1 4 0 5 4 2 3 0 0 4 5 - 2 1

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(4) Cousin Henry wants to sell furniture. He needs 3 pieces of wood and 2 cushions to make a chair He needs 5 pieces of wood and 3 cushions to make a bench He only has room to store 20 cushions Wood costs 10 per piece, and cusions cost 5 each. He has 250 dollars to buy initial supplies He earns 50 dollars for each chair and 80 dollars for each bench Use the notation x b =number of benches and x c =number of chairs.
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This note was uploaded on 11/08/2009 for the course MATH 2602 taught by Professor Costello during the Spring '09 term at Georgia Institute of Technology.

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Practice_test4 - Practice Test 4 Math 2602 Name Spring 2006(1 The following matrix is in the form[A|b How many solutions are there to the equation

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