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Let u = (2, 3, 1), v = (1, 3, 0), and w = (2, –3, 3).

Chapter 19, Problem 26E

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QUESTION:

Let u = (2, 3, 1), v = (1, 3, 0), and w = (2, –3, 3). Since (1/2)u – (2/3)v– (1/6)w = (0, 0, 0), can we conclude that the set {u, v, w} is linearly dependent over \({Z_7}\)?

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QUESTION:

Let u = (2, 3, 1), v = (1, 3, 0), and w = (2, –3, 3). Since (1/2)u – (2/3)v– (1/6)w = (0, 0, 0), can we conclude that the set {u, v, w} is linearly dependent over \({Z_7}\)?

ANSWER:

Step 1 of 2

Given data:

Let u = (2, 3, 1), v = (1, 3, 0), and w = (2, –3, 3). Since (1/2)u – (2/3)v– (1/6)w = (0, 0, 0).

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