Describe the span of the given vectors in terms

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1. Describe the span of the given vectors in terms of the coefficients x, y, z of a general vector b = (x,y,z) in the span. Write b as a linear combination of the given vectors.

a1=(2,2,-2),  a2=(4,6,-3), a3=(4,2,-5)

2. A company meets its production schedule by operating four plants. Determine if it is possible to close one f the plants and met the production demand with only three. If it is possible, what are the feasible production schedules? Assume each plant can be operated up to 7 days per week.

The Volta Batter Company manufactures AA, A, C, and D batteries in each of four plants. The daily production (in 1000's) for the fur plants is given in the following table:

(1000) Plant 1 Plant 2 Plant 3 Plant 4
AA 3 4 5 5
A 2 3 5 6
C 4 5 5 4
D 1 2 4 5

Reference no: EM13910518

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