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Let V be the set of vectors shown below. v={[:] V= a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. OA. u= O C. The vector u + v may or may not be in V depending on the values of x and y. D. The vector u + v is never in V because the entries of the vectors in V are scalars and not sums of scalars. b. Find a specific vector u in V and a specific scalar c such that cu is not in V. Choose the correct answer below. [-2] B. u= :x≤0, y ≤0 O c. u= OD. u= so} -2 -2 -2 - 2 2 -[1]. 2 C = -1 c = 4 C = -1 c=4

Let V be the set of vectors shown below. v={[:] V= a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. OA. u= O C. The vector u + v may or may not be in V depending on the values of x and y. D. The vector u + v is never in V because the entries of the vectors in V are scalars and not sums of scalars. b. Find a specific vector u in V and a specific scalar c such that cu is not in V. Choose the correct answer below. [-2] B. u= :x≤0, y ≤0 O c. u= OD. u= so} -2 -2 -2 - 2 2 -[1]. 2 C = -1 c = 4 C = -1 c=4

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 21EQ
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Find a specific vector u in V and a specific scalar c such that cu is not in V 

 

 

 

 

Let V be the set of vectors shown below. v={[:] V= a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. OA. u= O C. The vector u + v may or may not be in V depending on the values of x and y. D. The vector u + v is never in V because the entries of the vectors in V are scalars and not sums of scalars. b. Find a specific vector u in V and a specific scalar c such that cu is not in V. Choose the correct answer below. [-2] B. u= :x≤0, y ≤0 O c. u= OD. u= so} -2 -2 -2 - 2 2 -[1]. 2 C = -1 c = 4 C = -1 c=4
Transcribed Image Text:Let V be the set of vectors shown below. v={[:] V= a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. OA. u= O C. The vector u + v may or may not be in V depending on the values of x and y. D. The vector u + v is never in V because the entries of the vectors in V are scalars and not sums of scalars. b. Find a specific vector u in V and a specific scalar c such that cu is not in V. Choose the correct answer below. [-2] B. u= :x≤0, y ≤0 O c. u= OD. u= so} -2 -2 -2 - 2 2 -[1]. 2 C = -1 c = 4 C = -1 c=4
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