fall1997-midterm - NAME: MAS 3114 MID-TERM EXAM October 15,...

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NAME: MAS 3114 MID-TERM EXAM October 15, 1997 Instructions: Total possible points = 100 + 4 bonus pts. 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. 1. [11 pts] Determine the value(s) of h such that the matrix ± 1 h 3 2 8 1 ² is the augmented matrix of a consistent linear system. 2. [8 pts] Complete the following. DEFINITION . If v 1 , v 2 ,..., v p are in R n , then the set of . ...................................... ........................... of v 1 , v 2 ,..., v p is denoted by Span { v 1 , v 2 ,..., v p } and is called the subset of R n ......................... (or generated ) by v 1 , v 2 ,..., v k . That is, the Span { v 1 , v 2 ,..., v p } is the collection of all vectors that can be written in the form
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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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fall1997-midterm - NAME: MAS 3114 MID-TERM EXAM October 15,...

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