The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars 
(not all zero) such that
which leads to the system of linear equations,
From the third equation, we have 
, and substituting this into the second equation gives
and in turn, 
. Substituting these into the first equation gives
which tells us that any value of 
will work. If 
, then 
and 
. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.
Answer:
Step-by-step explanation:
Let assume that the volume = 88 cubic feet
Then:
The construction cost now is:
Now, to determine the minimum cost:
Now;
Answer:
2(n-9)
Step-by-step explanation:
Hi there!
Let "a number" = n.
"The difference" translates to subtraction, so when the question tells us "the difference of a number and 9", it translates to "n-9".
"Twice" means we'll be doubling something. In this case, we're doubling "n-9":
2(n-9)
I hope this helps!
-12.166 divided by -1.54 hm I think -11.122 Im sorry i never learned this...
Answer:
Step-by-step explanation:
Rewrite this as a fraction to see easier:
You can divide both numbers by 12, the GCF:
Rewrite as a ratio:
<em>Finito.</em>
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Make 36:60 equivalent to _:50
With the simplified version of 36:60, 3:5, Multiply both sides by ten to get 5 to 50:
Done.
