Let P 4 have the inner product as in Example 5, and let p 0 . p
Question:
Let P4 have the inner product as in Example 5, and let p0. p1, p2 be the orthogonal polynomials from that example. Using your matrix program, apply the Gram-Schmidt process to the set {p0. p1. p2, t3, t4) to create an orthogonal basis for P4.
Transcribed Image Text:
EXAMPLE 5 Let V be P4 with the inner product in Example 2, involving evaluation of polynomials at -2, -1, 0, 1, and 2, and view P2 as a subspace of V. Produce an orthogonal basis for P₂ by applying the Gram-Schmidt process to the polynomials 1, t, and 1².
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
The new orthogonal polynomials ar...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
Question Posted:
Students also viewed these Mathematics questions
-
Let the vector space p2 have the inner product Apply the Gram-Schmidt process to transform the standard basis S= {1, x, x2} into an orthonormal basis. (The polynomials in the resulting basis are...
-
Let p2 have the inner product Apply the Gram-Schmidt process to transform the standard basis S= {1, x, x3} into an orthonormal basis. , ) ()g(x)dx (P, 9) =
-
Let R2 have the inner product defined by the positive definite matrix (a) Show that v1 = (1, 1)T, v2 = (- 2, 1)T form an orthogonal basis. (b) Write the vector v = (3, 2)T as a linear combination of...
-
why is teamwork so important especially in healthcare? explain
-
Use the values in the joint probability table to solve the equations given. a. P(A F) = _______ b. P(E B) = _______ c. P(B C) = _______ d. P(E F) =_______ | 3 | 2 | 6 | 7 0-1-0-0 1-0-2-3 BCD
-
Selected transactions for the Walt Bryce Company are presented in journal form below. Post the transactions to T-accounts. Make one T-account for each item and determine each accounts ending balance....
-
Your business uses the allowance method to account for uncollectible receivables. At the beginning of the year, Allowance for Uncollectible Accounts had a credit balance of \($1,100.\) During the...
-
Use regression analysis to fit a linear trend model to the data set. a. What is the estimated regression function? b. Interpret the R2 value for your model. c. Prepare a line graph comparing the...
-
Chimney Solar Energy Installation (CSEI) is owned by Martha. She is very concerned with the amount of time it took to complete several recent jobs. Some of her workers are very unreliable with...
-
Describe all least-squares solutions of the system x + 2y = 3 x + 2y = 1
-
Find a polar equation for the conic with its focus at the pole and the given eccentricity and directrix. Conic Parabola Eccentricity e = 1 Directrix x = 5
-
Gap is a close competitor of Deckers Outdoor and Timberland in the teenage apparel industry. Gap also owns the Old Navy and Banana Republic clothing chains. Gap reported higher earnings than Deckers...
-
Miller Company's contribution format Income statement for the most recent month is shown below: Total Per Unit Sales (25,800 units) Variable expenses $ 232,200 139,320 $ 9.00 5.40 Contribution margin...
-
The circle x2 + y+6x-14y+ 57 = 0 has a radius = The circle x + y - 8x - 6y-24 = 0 has a center at x = y=. The ellipse with center at (0, 0), vertex at (0, -10), x-intercept at (6, 0) has it's foci at...
-
The data set of 16 values is given below 3.2, 4.0, 2.5, 3.8, 4.5, 3.3, 2.8, 3.9, 3.1, 3.2, 2.7, 2.8, 2.9, 3.5 2.6, 3.7 Construct stem and leaf plot for this data set by using each number in the ones...
-
Describe the role of security in a linux system and explain how to secure a Linux system ?
-
Growth Ltd has decided to expand its business after having an existence for 5 years in retailing. Having established their credit worthiness, they decided to raise funds by issuing bonds. They are...
-
The heats of vaporization of liquid O2, liquid Ne, and liquid methanol, CH3OH, are 6.8 kJ/mol, 1.8 kJ/mol, and 34.5 kJ/mol, respectively. Are the relative values as you would expect? Explain.
-
Controls can be identified based on their function. The functions are preventive, detective, and corrective. A. True B. False
-
True or false? A confidence interval informs on all parameter values that are plausible, the test of significance only tells us about one parameter value.
-
A Gallup survey of 1001 randomly selected U.S. adults conducted May 2011 asked, In your opinion, which one of the following is the main reason why students get education beyond high school? Fifty...
-
A recent Gallup poll showed the presidents approval rating at 60%. Some friends use this information (along with the sample size from the poll) and find theory-based confidence intervals for the...
-
Let [800] = 0 4 3 0 3 6 be a variance-covariance matrix. 1. Find the corresponding correlation matrix. 2. Find the eigenvalues and eigenvectors of . Use the determinant and trace to check that the...
-
2 8 15 (a) Encrypt the message "SAFE MESSAGES" using the Hill cipher with key 7 4 17 8 13. 6 Show your calculations and results. (b) (i) Construct a Playfair matrix with the key "GOOD LUCK". Make a...
-
Consider a 10-bit binary floating point number representation system: SE EEE mm mm m The first bit of the exponent is dedicated to its sign. Assume that the mantissa must start with a '1'. Use this...
Study smarter with the SolutionInn App