Let (p(x), q(x)) = p(0)q(0) + p(1)q(1) + p(2)q(2) in P2. In each case find the polynomial

Question:

Let (p(x), q(x)) = p(0)q(0) + p(1)q(1) + p(2)q(2) in P2. In each case find the polynomial in U closest to f(x).
(a) U = span{l + x, x2}, f(x) = 1 + x2
(b) U = span{l, 1 + x2}; f(x) = x

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

See More Books

Question Posted: Jun 21, 2016 06:52 AM

See More Questions

In each case, find the point Q: and P = P( 1, 3, -4) PQ=|-1 4 717.
Let (X, Y) = ti'(XYT) in M22. In each case find the matrix in U closest to A (a) (b) 1 11.11 ollueds 1- I Lo uecis =
Let P, Q, and R be the vertices of a parallelogram with adjacent sides PQ and PR. In each case, find the other vertex S. P(2, 0, -1), Q(-2, 4, 1), R(3, -1, 0)
Which of the following best describes employees suppliers and governments? a.These are examples of organisational stakeholders. b.These are rarely considered in organisational behaviour theories....
Use determinants to solve the following set of simultaneous equations: 5X + 2Y + 3Z = 4 2X + 3Y + 1Z = 2 3X + 1Y + 2Z = 3
The plaintiff , Betty Epstein, visited a beauty parlor to get her hair dyed. In the dying process, the beautician used a prebleach solution manufactured by Clairol, Inc., and then a commercial dye...
A set of nonredundant (1oo1) safety equipment, with all component devices certified as having systematic capability SC 3, is used in a low-demand application. The longest DTI of the equipment set is...
In Problem, suppose that the objective is to minimize the cost of books and that the student total study time is limited to 12,600 hours. A business student at Nowledge College must complete a total...
Develop a sustainability plan for using water resources from the country Brazil. This plan should be written with SMART goals (Specific, Measurable, Attainable, Relevant, Time bound). Be clear about...
The trim line at PW is a small subassembly line that, along with other such lines, feeds into the final chassis line. The entire assembly line, which consists of more than 900 workstations, is to...
In each case find U-1 and compute dim U1 and dim U1 (a) U = span{[l 1 2 0], [3 -1 2 1], [1 -3 -2 1]} in R4 (b) U = span{[l 1 0 0]} in R4 (c) U = span{l, x} in P2 with (P. q) = P(0)q(0) + p(1)q(1) +...
Using the inner product (p, q) = 10p(x)q(x) dx on P2, write v as the sum of a vector in U and a vector in UL. (a) v = x2, LJ = span{x + 1, 9x - 5} (b) v = x2 + 1, U = span{ 1, 2x - 1}
The article Improved Bioequivalence Assessment of Topical Dermatological Drug Products Using Dermatopharmacokinetics (B. NDri-Stempfer, W. Navidi, R. Guy, and A. Bunge, Pharmaceutical Research,...
What is meant by the statement Programmer time is an efficiency consideration? Give an example of a situation in which programmer time is used to justify the choice of an algorithm (possibly at the...
In Chapter 6, we discussed how to store a linked list in an array of nodes using index values as pointers and managing our list of free nodes. We can use these same techniques to store the nodes of a...
Determine the Big-O measure for QuickSort based on the number of elements moved rather than the number of comparisons 1. for the best case. 2. for the worst case.
If node 1 is to be deleted, the value in which node could be used to replace it? The numbers on the nodes are labels so that we can talk about the nodes; they are not key values within the nodes. 4 2...
How many comparisons would be needed to sort an array containing 100 elements using ShortBubble 1. in the worst case? 2. in the best case?
Margin of error, E = 2.6 minutes; sample standard deviation, s = 45.4 minutes Sample Sizes. In Exercise, assume that you want to construct a 95% confidence interval estimate of a population mean....
The column shown in the figure is fixed at the base and free at the upper end. A compressive load P acts at the top of the column with an eccentricity e from the axis of the column. Beginning with...
Center (4, -5) tangent to the x-axis
Use the given graph to find each of the following: (a) the x-intercept and (b) the zero of the function. (a) (b) (c) 5-4-3-2-1, 1 2 5 -4 -4 5-4-3-2-1 1 23 4 5
Write a slope-intercept equation for the line containing the point (-1, 4) and parallel to the line 3x + 4y = 7.
If a set of m+1 data points (x,y) are to be represent by a least squares fit of y=c logx derive an expression for c in terms of x and y.
5 If 0 = then 4 cos(0) = sin(0) =
Determine the reactions of the given beam using slope deflection method. P = 25 kN, P2 = 25 kN, and w = 25 kN/m P1 P2 2m B 2m C 4m 21 Numerical answer in 4 decimal places and positive values only: RA...

Let (p(x), q(x)) = p(0)q(0) + p(1)q(1) + p(2)q(2) in P2. In each case find the polynomial

Question:

Step by Step Answer:

b We are given U span1 1 x 2 and applying the GramSchmidt algorithm ...View the full answer

Linear Algebra With Applications

Students also viewed these Linear Algebra questions