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Please show step by stepassignment 5b (3).jpg

assignment 5b (3).jpg

(Section 5.3)
20 points
3. a. i. Show that the vectors vi = (1, 2, 3, 4), v2 = (0, 1, 0, -1), and
13 = (1, 3, 3, 3) form a linearly dependent set in IR".
ii. Express each vector in part i. as a linear combination of the other two.
b. Prove that if { vi, v2, v3} is a linearly independent set of vectors, then so
are {vi, v3}, and {v2}.

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