fall1994-midterm - MAS 3114 — Test 1 — September 28,...

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Unformatted text preview: MAS 3114 — Test 1 — September 28, 1994 Instructions: • There are 8 problems giving a total of 100 points. Answer all these questions. • There is one bonus problem worth 5 points. • In this test boldface is used to indicate a vector; eg. v is a vector but x is a scalar. In your work distinguish between vectors and scalars by underlining vectors; eg. v is a vector but x is a scalar. • Show all necessary working. Calculators are not allowed. • Set out your work properly. Explain your reasoning clearly and make your answer clear. Leave blank. 1. 2. 3. 4. 5. 6. 7. 8. 9. [1 point] Name: 1 2 1. [6 points] Suppose that a system of linear equations has a 3 × 5 augmented matrix whose fifth column is a pivot column. Is the system consistent? Why? 2. [3 + 11 = 14 points] (i) Let v 1 , v 2 ,..., v p be vectors in R n . Define the set denoted by Span { v 1 , v 2 ,..., v p } . (ii) Let v 1 = 1 1 4 , v 2 = 1 2 6 , v 3 = 1- 1 ....
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This note was uploaded on 12/27/2011 for the course MAS 3114 taught by Professor Olson during the Fall '08 term at University of Florida.

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fall1994-midterm - MAS 3114 — Test 1 — September 28,...

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