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Ipatiy [6.2K]
3 years ago
9

Let V be a vector space, and let v1, v2, v3 and v4 be linearly independent vectors in V . In parts (a) and (b) below, determine

whether each of the given sets of vectors is linearly independent or linearly dependent. Prove your answers using the definition.
u1 = v1 − 7v3, u2 = v1, u3 = v3, u4 = v3 + v4.
Mathematics
1 answer:
Blababa [14]3 years ago
8 0

Answer:

Step-by-step explanation:

u_3 = v_3 and  u_2 = v_1

u_1= v_1 -7 v_3

Replace the first line to the second line, you have u_1= u_2-7u_3

That shows \{u_1, u_2, u_3,u_4\}

is not linear independent.

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