(1) Consider a collection of n individuals, each of whom owns a definite quantity of m commodities. Let aij be the number of commodity i owned by individual j. i = 1, 2, ...,m; j = 1, 2,..., n. What does the vector (a₁j, aj, ..., amj) represent? Explain in words the significance of the sum: (2) Evaluate A+ B, A- B, 5A- 3B where A = (3) Evaluate A. B where ail + ai2 + ... + ain. A = 0 1 -1 23 7 0 1 2 2 3 1 4 -1 6 and B = and B = 1 -1 5 3 2 1 0 -1 0

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A: The vectors substraction: (v-w)

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A: Answer:

Q: How many students were included in the collection?

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Q: 9. Determine whether the set of vectors i (2,-1), (3,-2), (0, 1)} basis for TR? is

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