Assume u4 is not a linear combination of {u1,u2,u3}

select the best statement.

a. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.
b. {u1,u2,u3,u4}could be a linearly independent or linearly dependent set of vectors depending on the vector space chosen.
c. {u1,u2,u3,u4}is always a linearly dependent set of vectors.
d. {u1,u2,u3,u4} is never a linearly dependent set of vectors.
e. {u1,u2,u3,u4}is a linearly dependent set precisely when {u1,u2,u3} is a linearly dependent set.
f. none of the above

A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.

Step-by-step explanation:

Given that u4 is not a linear combination of {u1,u2,u3}

This means there is no possibility to write u4 = au1+bu2+cu3 for three scalars a,b,and c.

This gives that

This implies that these four vectors are not linearly dependent but linearly independent.

Hence option a is right.

A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies

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step-by-step explanation: