Test 1 Solutions

Test 1 Solutions - Test 1 Solution MATH1104 B , Fall, 2009...

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Unformatted text preview: Test 1 Solution MATH1104 B , Fall, 2009 Last name: First name: Student no.: 1-[4 marks]: Circle each matrix which is in REF (Row Echelon Form): A = 0 3 4 0 0 0 1 5 0 0 0 3 B = 1 0 2 7 4 0 0 0 5 2 0 0 0 0 5 C = 1 5 0 0 3 0 0 1 0 0 0 0 0 0 0 , D = 1 6 0 0 3 0 0 1 0 0 0 0 1 6 7 2-[6 marks]: Suppose that a system of equations has the augmented matrix " 1 h 2- 2- 6- k # . If the system is inconsistent, then the values of h and k must be: (a) h = 3, k 6 = 0 (b) h = 3, k = 4 (c) h 6 = 3, k 6 = 4 (d ) h = 3, k 6 = 4 (e) h 6 = 3, k = 4 Solution : The REF for of the augmented matrix is " 1 h 2 0 2 h- 6 4- k # . So if 2 h- 6 = 0 and 4- k 6 = 0 then the system has no solution, i.e. h = 3, k 6 = 4, i.e. d 3-[4 marks]: Consider the following augmented matrix: 5 1 3 1 2...
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Test 1 Solutions - Test 1 Solution MATH1104 B , Fall, 2009...

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