Let S = {l/2, cos x, cos 2x, ..., cos nx, sin x, sin 2x,..., sin nx}
Question:
S = {l/√2, cos x, cos 2x, ..., cos nx, sin x, sin 2x,..., sin nx}
Show that S is an orthonormal set in C[-π, π] with inner product defined by (2).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (14 reviews)
We saw in Example 3 that 12 cos x cos 2x cos nx is an orthono...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
The data in Exercise 6 were taken from the following functions. Compute the actual errors in Exercise 6, and find error bounds using the error formulas. a. f (x) = e2x cos 2x b. f (x) = ln(x + 2) (x...
-
Although q(x) < 0 in the following boundary-value problems, unique solutions exist and are given. Use the Linear Shooting Algorithm to approximate the solutions to the following problems, and compare...
-
Although q(x) < 0 in the following boundary-value problems, unique solutions exist and are given. Use the Linear Finite-Difference Algorithm to approximate the solutions, and compare the results to...
-
A 1.0-kg trash-cal lid is suspended against gravity by tennis balls thrown vertically upward at it. How many tennis balls per second must rebound from the lid elastically, assuming they have a mass...
-
All partners agree that $200,000 of accounts receivable invested by a partner will be collectible to the extent of 90%. How should the accounts receivable be recorded in the general ledger of the...
-
On October 1, 2021, Kristal Corp. issued $700,000, 5%, 10-year bonds at face value. The bonds were dated October 1, 2021, and pay interest annually on October 1. Financial statements are prepared...
-
Visit the website of the marketing research company GMI (http://www.gmi-mr.com/) and write a brief report on the methods they use to ensure effective data processing for their clients.
-
The chairman of the board of Hughes Corporation proposed that the board hire as controller a CPA who had been the manager of the team that conducted Hughes Corporations audit engagement. The chairman...
-
(1) A borrower finds that the incremental cost of borrowing an extra $10,000 is 14%. If the borrower can earn 12% on alternative investments of comparable risk should he borrow the extra $10,000 at...
-
Since the 1980s, individuals UI benefits have been subject to the federal personal income tax (but not Social Security taxes). However, in 2009, the taxation of UI benefits for certain individuals...
-
Consider the inner product space C[0, 1] with inner product defined by Let S be the subspace spanned by the vectors 1 and 2x - 1. (a) Show that 1 and 2x - 1 are orthogonal. (b) Determine ||1|| and...
-
Find the best least squares approximation to f(x) = |x| on [-, ] by a trigonometric polynomial of degree less than or equal to 2.
-
Landers Nursery and Garden Stores has current assets of $220,000 and fixed assets of $170,000. Current liabilities are $80,000 and long-term liabilities are $140,000. There is $40,000 in preferred...
-
A wet soil weighed 100 g (Mt = 100 g). After oven-drying for 24 hours, all the moisture in the wet soil was gone and the dried soil weighed 80 g (Ms = 80 g). Then, the water content of the wet soil...
-
Please explains in details in terms of Operating System as follows: a. Unix file system ? b. superblocks, inode, magic number ?
-
What is the magnitude of the magnetic force between two 4.0 m long wires, each carrying a current of 5.0 A located 0.20 m apart?
-
A 2.0 m long wire is located in a magnetic field. There is a 12 N force on the wire when it has a current of 0.80 A running through it. What is the magnitude of the magnetic field?
-
Where is UNIX operating system more suitable for?..
-
A political scientist received a grant to fund a research project on voting trends. The budget includes $3,200 for conducting door-to-door interviews on the day before an election. Undergraduate...
-
(a) Water flows through the nozzle of a garden hose. Find an expression for m in terms of line pressure P 1 , ambient pressure P 2 , inside hose diameter D 1 , and nozzle outlet diameter D 2 . Assume...
-
Find the Cholesky decomposition of each of the following matrices. (a) (b) 23 045
-
If A is positive definite, show that A = C2 where C is positive definite.
-
Show that a matrix A is positive definite if and only if A is symmetric and admits a factorization A = LDU as in (a).
-
A client required an IP address from DHCP server, please list the steps of the DHCP process?
-
Bijan's pipelined processor features separate instruction and data caches. The instruction cache (I-cache) has a single level and the data cache (D-cache) has two levels, as shown in the figure...
-
Peter opened a brokerage account to sell short 1,200 shares of Carb Farm stock at the current market price of $160 per share. The brokerage firm charges 12% per annum on the margin loan. a. Suppose...
Study smarter with the SolutionInn App