It took 4 hours to clean 10 houses, how many houses could be cleaned in 8 hours?
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
Let . We have that
if and only if we can find scalars
such that
. This can be translated to the following equations:
1.
2.
3.
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are , but note that for this values, the third equation doesn't hold (3+2 = 5
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.