The correct options for the linear combinations of the vectors are given by:
A, B, C, D, E and F.
<h3>What is a span between two vectors?</h3>
The span between two vectors is the set that contains all linear combinations between these two vectors.
Supposing we have two vectors u1 and u2, as is the case in this problem, the infinitely many linear combinations have the following format:
k1u1 + k2u2
In which k1 and k2 are real numbers.
With k1 = 4 and k2 = -7, we get that option A is correct.
For option B, the vector 0 will always be a part of the span, as it can be formed with constants 0, hence it is correct.
The dimension of the span is of 3, as the vectors have 3 elements, hence option C is correct.
The underlying vectors will always also be part of the span, as they can be formed with their constant 1 and the others at 0, hence options D and F are correct.
The size of the span of any vectors is of infinity, hence option E is correct while option G is not.
More can be learned about linear combinations at brainly.com/question/15885826
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If you would like to know the production rate of factory E, you can calculate this using the following steps:
Factory Number of days Number of shirts
A 2 600
B 3 900
C 4 1200
D 5 1500
Factory E can make shirts at the same rate as the first four factories:
600 shirts / 2 days = 300 shirts per day
900 shirts / 3 days = 300 shirts per day
1200 shirts / 4 days = 300 shirts per day
1500 shirts / 5 days = 300 shirts per day
Factory E will make 1800 shirts in 6 days, therefore 1800 / 6 = 300 shirts per day.
The correct result would be:
Factory Number of days Number of shirts
E 6 1800
