10. Determine whether or not, vectors ui(1,-2, 0, 3), u2 = (2, 3,0,-1), u3 = (3,9,-4,-2) e R is a linear combination of the (2,-
vodka [1.7K]
If (2, -1, 2, 1) is a linear combination of the three given vectors, then there should exist 
such that
or equivalently, there should exist a solution to the system
Right away we get 
, so the system reduces to
Notice that the first equation is the sum of the latter two. The third equation gives us
so that in the second equation,
which in turn gives
and hence the (2, -1, 2, 1) is a linear combination of the given vectors, with
Answer:
it should look like a U shape. Its called a parabola
(0,0) is the bottom center.
Step-by-step explanation:
Answer:
3 cups of seeds and 2 tablespoons of maple Syrup or 6 cups of seeds and 4 tablespoons of maple syrup.
Step-by-step explanation: As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"
The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"
Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.
Answer:
15 is 50 percentage of 30.
Step-by-step explanation:
Answer:
113 / 20
or
5.65
Step-by-step explanation:
= 9 2/5 - 3 3/4
=
- 
= 
=
=
