I suppose

The vectors that span
form a basis for
if they are (1) linearly independent and (2) any vector in
can be expressed as a linear combination of those vectors (i.e. they span
).
Compute the Wronskian determinant:

The determinant is non-zero, so the vectors are linearly independent. For this reason, we also know the dimension of
is 3.
Write an arbitrary vector in
as
. Then the given vectors span
if there is always a choice of scalars
such that

which is equivalent to the system

The coefficient matrix is non-singular, so it has an inverse. Multiplying both sides by that inverse gives

so the vectors do span
.
The vectors comprising
form a basis for it because they are linearly independent.
8 5 and 18 8
7 2 9 2
8 - 5 = 3, 8 - 7 = 1, 5 - 2 = 3 and 18 - 8 = 10, 18 - 9 = 9, 9 - 2 = 7, 8 - 2 = 6
Answer:
The amount of stock for which both brokers would charge the same commission is $2500.
Step-by-step explanation:
i) Let the amount of stock to be traded be worth $x
ii) therefore for both the brokers to charge the same commission we can write
1% of x = $25 
0.01
x = 25
x = 
The amount of stock for which both brokers would charge the same commission is $2500.
Answer, step-by-step explanation:
A. With the previous exercise we can deduce that there is the situation of a number of sales in a grocery store, the relative frequency for the number of units sold, is shown below:
units sold. relative frequency. Acumulative frequency. interval of random numbers
30. 0.16. 0.16. 0.00 <0.16
40. 0.24. 0.4. 0.16 <0.4
50. 0.3. 0.7. 0.4 <0.7
60. 0.2. 0.9. 0.7<09
70. 0.1. 1. 0.9<1
B. For the next point, they give us some random numbers and then it is compared with the simulation of 10 days in sales:
random Units
number. sold
0.12. 30
0.96. 70
0.53. 50
0.80. 60
0.95. 70
0.10. 30
0.40. 50
0.45. 50
0.77. 60
0.29. 40
the two lists are compared so that opposite each one is the result of the simulation
Your question is in the wrong category but I will try to help. 1. objective 2. awards 4. skill summary I've been really thinking about 3 and 5 because of their close. I think it might be 3. education maybe?