Find the coordinate vector of w relative to the basis S = (u1, u2) for R2 (a)

Question:

Find the coordinate vector of w relative to the basis S = (u1, u2) for R2
(a) u1 = (1, 0), u2 = (0, 1); w = (3, - 7)
(b) u1 = (2, - 4) , u2 = (3, 8 ); w = (1 , 1)

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

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

See More Books

Question Posted: Jun 17, 2016 08:05 AM

See More Questions

In each part, an orthonormal basis relative to the Euclidean inner product is given. Use Theorem 6.3.1 to find the coordinate vector of w with respect to that basis. (3, 7); u : u2 = /2
Find the coordinate vector of p (x) = 1 + 2x + 3x2 with respect to the basis B = {l + x, 1 - x, x2} of P2.
Find the coordinate vector of p (x) = 2 - x + 3x2 with respect to the basis B = {l, 1 + x, - 1 + x2} of P2.
An examiners close inspection of the annual financial statements and the accounting records revealed that Mawani Inc. may have violated some accounting principles. The examiner questioned the...
Multiple Choice Questions 1. Land improvements are: A) Assets that increase the usefulness of land, and like land, are not depreciated. B) Assets that increase the usefulness of land, but that have a...
Stober Corporation made two purchases of inventory on account during the month of March. The first purchase was made on March 5 for $30,000, and the second purchase was made on (The gross method and...
(a) What criteria might Chobani use when it seeks markets in new countries and (b) what three or four countries meet these criteria?
In water-resources engineering, the sizing or reservoirs depends on accurate estimates of water flow in the river that is being impounded. For some rivers, long-term historical records of such flow...
interfund transfer are flows of cash or other assest that
Assume six devices are arranged in a mesh topology. How many cables are needed? How many ports are needed for each device?
Show that the following set of vectors is a basis for M22. 2 0 0 3
Find the coordinate vector of v relative to the basis S = (v1, v2, v3) v = (2, - 1, 3), v1 = (1, 0, 0), v2(2, 2, 0), v3 = (3, 3, 3)
BMW Group, one of Europe?s largest manufacturers, reports the following income statement accounts for the year ended December 31, 2016 (euros in millions). Use this information to prepare BMW?s...
Caching. CPUs. Hard disk drives. Parallelism. Pipelining. RAM. Registers. Solid-state drives. Dinkleberg 1. (3 points) You know that neighbor who always one-ups you? Apparently, he just bought a...
Information for Question 1 and 2: The National Health Interview Survey is an annual national health survey of people living in about 35,000 randomly selected households in the United States. On the...
Q1. There is trampoline on the ground, and connected to spring of spring constant, k, on the bottom. You are holding a child of mass, M on a H tall building top (H is measured from the trampoline to...
SPSS for intermediate statistics extra problems solutions d. Approximately how much variance in consumers' tendency to purchase the product could be predicted from these variables? If you owned the...
A finance company uses the discount method of calculating interest. The loan principal is $5,000, the interest rate is 10%, and repayment is expected in two years. You will receive 4196.25 X from the...
Do YOU agree that Maslows hierarchy would be shown more meaningfully as an inverted pyramid? What alternative means of presentation can you suggest?
A condenser (heat exchanger) brings 1 kg/s water flow at 10 kPa quality 95% to saturated liquid at 10 kPa, as shown in Fig. P4.91. The cooling is done by lake water at 20C that returns to the lake at...
In Example 2, solve the first equation in (2) for x2 in terms of x1, and from that produce the eigenvector for the matrix A. Show that this y is a (complex) multiple of the vector v1 used in Example...
Let A be an n x n real matrix with the property that AT = A, let x be any vector in Cn, and let q = xrAx. The equalities below show that q is a real number by verifying that q = q. Give a reason for...
Let A be an n x n real matrix with the property that AT = A. Show that if Ax = x for some nonzero vector x in Cn, then, in fact, A is real and the real part of x is an eigenvector of A.
explain in excel please For a particular product the price per unit is $6. Calculate Revenue if sales in current period is 200 units. Conduct a data analysis, on revenue by changing the number of...
Hall Company sells merchandise with a one-year warranty. In the current year, sales consist of 35,000 units. It is estimated that warranty repairs will average $10 per unit sold and 30% of the...
Q 4- Crane Corporation, an amusement park, is considering a capital investment in a new exhibit. The exhibit would cost $ 167,270 and have an estimated useful life of 7 years. It can be sold for $...

Find the coordinate vector of w relative to the basis S = (u1, u2) for R2 (a)

Question:

Step by Step Answer:

a Clearly w 3u 1 7u 2 so the coordinate vector relativ...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions