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9.2 If possible, find two vectors ū and v so that (a) a and c are non-negative linear combinations of u and but is not. (b) a and è are non-negative linear combinations of u and v. (c) a and are non-negative linear combinations of u and ✓ but d is not. (d) a, c, and à are convex linear combinations of u and v. Otherwise, explain why it's not possible.

9.2 If possible, find two vectors ū and v so that (a) a and c are non-negative linear combinations of u and but is not. (b) a and è are non-negative linear combinations of u and v. (c) a and are non-negative linear combinations of u and ✓ but d is not. (d) a, c, and à are convex linear combinations of u and v. Otherwise, explain why it's not possible.

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 28EQ: Use the method of Example 2.23 and Theorem 2.6 to determine if the sets of vectors in Exercises...
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need help. linear algebra. 9.1 is solved already

need explanation on 9.2

9.2 If possible, find two vectors u and ✓ so that (a) à and c are non-negative linear combinations of u and ✓ but b is not. (b) à and è are non-negative linear combinations of u and v. (c) à and are non-negative linear combinations of u and but à is not. (d) à, c, and à are convex linear combinations of u and v. Otherwise, explain why it's not possible.
Transcribed Image Text:9.2 If possible, find two vectors u and ✓ so that (a) à and c are non-negative linear combinations of u and ✓ but b is not. (b) à and è are non-negative linear combinations of u and v. (c) à and are non-negative linear combinations of u and but à is not. (d) à, c, and à are convex linear combinations of u and v. Otherwise, explain why it's not possible.
9 Let a=[] = []=[] = [2] = -H b 9.1 Out of a, b, c, d, and è, which vectors are (a) linear combinations of a and b? (b) non-negative linear combinations of a and b? (c) convex linear combinations of a and b? * = [31].
Transcribed Image Text:9 Let a=[] = []=[] = [2] = -H b 9.1 Out of a, b, c, d, and è, which vectors are (a) linear combinations of a and b? (b) non-negative linear combinations of a and b? (c) convex linear combinations of a and b? * = [31].
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