(a) Show that the following vectors are linearly de- pendent in R³: 4 4 V2 V3 3 -4 7 -15 (b) Show that vị is in the convex set spanned by v2 and v3. (c) What is the maximum number of linearly inde- pendent vectors you can find in R³? Give an example of such vectors (justify linear indepen- dence). ||

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