Question: Given two bases {(-1,-1,2), (-1,-2,3), (1,-6,6)} U3 U1 U and = {(,-1,-1), 1-,1),(-,0)} U 22 U3 of R 3, (i) find the change of

Given two bases {(-1,-1,2), (-1,-2,3), (1,-6,6)} U3 U1 U and = {(,-1,-1), 1-,1),(-,0)} U 22 U3 of R 3, (i) find the change of coordinates (transition) matrix ER 3 from the coordinates with respect to to the coordinates with respect to (ii) find the coordinates [p(x)] ER and [p(x)] ER of p(x) = 3x - x + 4 3, with respect to and, (iii) verify the equality [p(x)] = [p(x)]o.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

A given crystal structure (such as NaCl) can be represented as consisting of planes of atoms, as shown below. A beam of x-rays can be reflected off the crystal, where the some of the beam penetrates...

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Emily Jackson (Social Security number 765-12-4326) and James Stewart (Social Security number 466-74-9932) are partners in a partnership that owns and operates a barber shop. The partnership's first...

The demand for subassembly S is 9090 units in week 7. Each unit of S requires 11 unitnothing of T and 11 unitnothing of U. Each unit of T requires 22 unitss of V, 11 unitnothing of W, and 11...

Hey please I just need you to show steps like how to do them because I dont know how to do it. PLEASE EXPLAIN LIKE YOURE EXPLAINING TO SOMEONE WHO NEVER USED EXCEL THANKS. STEPS 2-31. Step...

need helo with the income statement Che Tony and Suzie graduate from college in May 2021 and begin developing the new business. They begin by offering clinics for basic outdoor activities such as...

Let us consider the case of LaRosa Machine Shop (LMS). LMS is studying where to locate its tool bin facility on the shop floor. The locations of the five production stations appear in the figure...

1. Solve AT = b using Gaussian elimination without pivoting. Identify the matrices L, U such that LU = A. 12 co N b = -8 A = 21 -6 2 26 2 I 3 221 : 2 = -1 - - ooo - Lar = 4 :2 2 - 250 -1 - 2 ( - 1) -...

TC2411 Tutorial 7 1. For each of the following PDEs, determine if the PDE, boundary conditions or initial conditions are linear or nonlinear, and, if linear, whether they are homogeneous or...

Descriptive Statistics - Real Estate Data Part I Descriptive Statistics - Real Estate Data Part 1 Steve Hill, Desiree Delaloza, Steve Muchuca & Rosa Mercado QNT/ 351 - Team A February 29, 2016 Eugene...

Create a table in which you show the following: For each variable in the Patients dataset : Identify the variable as either categorical, numerical discrete, or numerical continuous: Identify the...

A firm with a 10 percent cost of capital is considering a project for this year's capital budget. The project's expected after-tax cash flows are as follows: Year: 0 1 2 3 4 Cash -$10,000 $4,700...

Specify at least three characteristics, personality traits, and / or special skills that you believe ar necessary for a Crime Scene Investigator to possess. Explain why you chose these...

US company Mary?s Fine Fashions manufactures and sell various types of women?s clothing. At the end of 2008, Mary had estimated for the production and sale of 25 000 short-sleeve shirts. Each shirt...

implement a binary search tree to allow duplicates have each node store a data structure of items that are considered duplicates (using the first item in this structure) to control branching

8. Show that the number of a particles scattered by an angle O or greater in Rutherford scattering is 2 zZe TIpt Mv2 1 cot? (0/2) , 9. The fraction of 6.0 MeV protons scattered by a thin gold foil,...

The owners of Never Give Up have decided to retire and embark on new life adventures. Assume they own all the common shares of the business and are looking to sell those shares to the right person or...

In Neoclassical growth accounting, a higher share of profits in national income will lead to an increased rate of GDP growth: A) when labor productivity is growing more rapidly than the size of the...

For each series, explain why the alternating series test does NOT apply:a)n=1cos(n)nb)n=1(-1)nln(n1n21)

For each of the following determine whether the given set is a subspace of R2. Prove your answers. (a) (b) x2 | .ri +.x2 = () S2=

Let A be an m n matrix, V an n r matrix, and B an m r matrix. Show that AX = B if and only if Axj = bj, j = 1,..., r

Given a collection of points (x1, y1). (x2 > y2),. . . . . . . . , (xn, yn)> let and let y = c0 + c1x be the linear function that gives the best least squares fit to the points. Show that if = 0 then...

Rainbow Paints is discontinuing a line of paint that it purchased at $30 less 45% and 10% per 4L pail. The stores overhead is 50% of cost, and normal operating profit is 30% of cost. If the manager...

Comfort Shoes normal rate of markup on selling price is 45%. What rate of mark down can the store offer on a pair of shoes normally priced at $140, and still realize a 20% rate of markup on cost at...

United Furniture buys reclining rocking chairs at $550 less 40% and 10%. The price is marked up to allow for overhead of 50% of cost and profit of 35% of cost. The unit on display in the store...