6. Let V be a vector space and v1, v2, V3, V4 are vectors in V. Suppose that {v1, v2, V3} are linear dependent and {v2, v3, v4} are linear independent. Show that (i) vi is a linear combination of v2, V3, and (ii) v4 is not a linear combination of v1, v2, V3.

6. Let V be a vector space and v1, v2, V3, V4 are vectors in V. Suppose that {v1, v2, V3} are linear dependent and {v2, v3, v4} are linear independent. Show that (i) vi is a linear combination of v2, V3, and (ii) v4 is not a linear combination of v1, v2, V3.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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