The matrix whose columns are the coordinate vectors of the Hermite polynomials relative to the
standard basis {1,t,t²,t³} of P3 is given by:
Since this matrix is already in row echelon form and there are 4 nonzero pivots, then its columns are linearly
independent. Since the coordinate vectors form a linearly independent set, then the Hermite polynomials
form a linearly independent set in P3: The dimension of P3 is 4; so this set of Hermite polynomials forms a basis for P3:
To learn more about Hermite polynomials from the given link
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Answer:
The speed of the boat in still water u = 8
Step-by-step explanation:
Let speed of the boat = u
Speed of the current = v = 4
Given that the first boat to travel 3 miles upstream and back in a total 1 hour.
So
Since v = 4
By solving above equation
u = 8 , - 2
Since u = -2 is not valid.
⇒ u = 8
This is the speed of the boat in still water.
The table is incorrect.
The correct table would be:
0-5
1-4.8
2-4.6
3-4.4
4-4.2
5-4.0
6-3.8
Answer:
Problem1= a Problem 2=a
Step-by-step explanation:
Hope this helps
Answer:
$20 for sandwiches and $14 for salads $34 in total
Step-by-step explanation:
each sandwhich costs $4 so
$4 x 5=$20
$2 x 7=$14