Question

In: Advanced Math

Find a basis and the dimension of W. Show algebraically how you found your answer. a....

Find a basis and the dimension of W. Show algebraically how you found your answer.

a. W = {(x1, x2, x3, x4) ∈ R^4 | x2 = x3 and x1 + x4 = 0}

b. W = {( A ∈ M 3x3 (R) | A is an upper triangular matrix}

c. W = { f ∈ P3 (R) | f(0) = 0.

Solutions

Expert Solution

Please feel free to ask any query in the comment box and don't forget to rate if you like.


Related Solutions

consider the subspace W=span[(4,-2,1)^T,(2,0,3)^T,(2,-4,-7)^T] Find A) basis of W B) Dimension of W C) is vector...
consider the subspace W=span[(4,-2,1)^T,(2,0,3)^T,(2,-4,-7)^T] Find A) basis of W B) Dimension of W C) is vector v=[0,-2,-5]^T contained in W? if yes espress as linear combantion
PLEASE SHOW ME HOW TO SOLVE THIS ALGEBRAICALLY. SPECIFICALLY SHOW HOW TO GET THE COUPON PAYMENT...
PLEASE SHOW ME HOW TO SOLVE THIS ALGEBRAICALLY. SPECIFICALLY SHOW HOW TO GET THE COUPON PAYMENT PLEASE. Smiley Industrial Goods has bonds on the market making annual payments, with 13 years to maturity, and selling for $1,095. At this price, the bonds yield 6.4 percent. What must the coupon rate be on these bonds?
Find a basis and the dimension of the subspace: V = {(x1, x2, x3, x4)| 2x1...
Find a basis and the dimension of the subspace: V = {(x1, x2, x3, x4)| 2x1 = x2 + x3, x2 − 2x4 = 0}
(Optimization) A cylindrical container w/ circular base is to hold 64 in3. Find the dimension so...
(Optimization) A cylindrical container w/ circular base is to hold 64 in3. Find the dimension so that the amount of metal required is a minimum when the container is a) an open cup and b) closed can.
Answer the following questions on the basis of the following hypothetical national income data. SHOW YOUR...
Answer the following questions on the basis of the following hypothetical national income data. SHOW YOUR WORK.    Interest paid by consumers------------------------------------- $ 15    Government purchases of goods & services--------------- 400    Social Security taxes---------------------------------------------- 135    Personal taxes------------------------------------------------------ 320    Corporate income taxes----------------------------------------- 20    Indirect business taxes------------------------------------------- 50    Transfer payments------------------------------------------------ 160    U.S. exports--------------------------------------------------------- 35    Gross private domestic investment--------------------------- 180    Personal consumption expenditures-------------------------- 600    U.S. imports-------------------------------------------------------- 45    Undistributed corporate profits------------------------------- 15   ...
****PLEASE ANSWER ASAP**** PLEASE SHOW WORK You want to maximize your utility and find your consumer...
****PLEASE ANSWER ASAP**** PLEASE SHOW WORK You want to maximize your utility and find your consumer optimum. Here is a table of your current situation: Taco Bell drink: $1.00 Taco Bell burrito supreme: $5.00 Income: $11.00 Drink    Total Utility                               Burrito supreme                        Total Utility 0            0                                                       0                                                0 1             100                                                 1                                                           600 2             220                                               2                                                          1100 3             280                                                 3                                                         1500 4             330                                                 4                                                         1600 5            350                                                  5                                                         1650 Calculate the Marginal Utility then the MU/P to find...
There are 3 questions. You must show your work and how you got the answer. PLEASE...
There are 3 questions. You must show your work and how you got the answer. PLEASE DO NOT ANSWER IF YOU ARE NOT SURE You have been asked to look at production options for the Android01, since production methods and allocation of costs have implications for cost per unit. Two alternative methods of production are being considered. Begin by gathering data (using financial information in decision making), then determine the suitability of the project. The production of Android01 will share...
Show the expression to find the force b/w the two parallel current-carrying conductors. (please explain your...
Show the expression to find the force b/w the two parallel current-carrying conductors. (please explain your answer in detail so I will able to understand too)
How much variance in grades is explained by artistic sensitivity? Show how you derived your answer...
How much variance in grades is explained by artistic sensitivity? Show how you derived your answer students AS G 1 8 81 2 9 97 3 8 72 4 7 79 5 6 70 6 4 60 7 6 81 8 7 87 9 6 77 10 0 85 11 6 64 12 7 91 13 8 75 14 7 73 15 7 76 16 8 83 17 8 83 18 2 55 19 8 92 20 9 92 21...
Can you please show me the work on how you get your answer please (thank you...
Can you please show me the work on how you get your answer please (thank you in advance kings and queens of chegg) Problem 1: The following selected information is provided about a manufacturing company: Raw material purchases800,000 Direct labor 415,000 Overhead applied730,000 Actual overhead745,000 Selling and administrative salaries500,000 Other selling and administrative expenses185,000 Sales revenue5,000,000 Inventory data: January 1 December 31Raw material 75,000 100,000Work in process 105,000 140,000Finished goods 120,000 125,000Calculate the cost of goods sold. Assume that under/over...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT