Question: please show steps, i am so confusing. 9. Define the terms linear combination, linear dependence and linear independence as applied to vectors. Suppose a, b

please show steps, i am so confusing.

please show steps, i am so confusing. 9. Define the terms linear

9. Define the terms linear combination, linear dependence and linear independence as applied to vectors. Suppose a, b and c are three vectors in R" . Show that a,b and c are linearly dependent if and only if there exist scalars a, B and y, not all zero, such that aatBbtyc=0 . Let v1 = Show that (i) v1, v2, v3 are linearly independent; (ii) any 3-vector can be expressed as a linear combination of v1, v2, v3. How do you think results (i) and (ii) can be generalised

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