1. Write = as a linear combination of the vectors V Create a matrix with these...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Write = as a linear combination of the vectors V₁ Create a matrix with these columns: 2 [#] Read off the coefficients to get -1 = 3v₁ + 2v₂. 3 and V2 -H and row reduce to get 0 6:3 1 2. Determine (with justification) whether or not the following sets of vectors are linearly independent. If a set is linearly dependent, write the zero vector as a linear combination of the vectors in which not all of the coefficients are zero. (a) {0·00- Linearly dependent, because the rank of the matrix is less than the number of 0-0 (b) columns. We have NIS 1 2] in R³, given that 1 -1 3 0 (c) • {0··}-· 0 1 ›{0.00} in R³, given that 1 2 3 ~ 1 2 2 Linearly independent, because the rank equals the number of columns. +02 +1 0 in R³. 3 = 0. [1 0 5/2 0 1-1/2 00 0 Linearly dependent. As in the previous cases we can form a matrix and row reduce it - this time we get a result with rank 2. In this case you might already be able to see that there is no way to get a nonzero entry in the third column even before you start row reducing. = 0. 00 1. Write = as a linear combination of the vectors V₁ Create a matrix with these columns: 2 [#] Read off the coefficients to get -1 = 3v₁ + 2v₂. 3 and V2 -H and row reduce to get 0 6:3 1 1. Write = as a linear combination of the vectors V₁ Create a matrix with these columns: 2 [#] Read off the coefficients to get -1 = 3v₁ + 2v₂. 3 and V2 -H and row reduce to get 0 6:3 1 2. Determine (with justification) whether or not the following sets of vectors are linearly independent. If a set is linearly dependent, write the zero vector as a linear combination of the vectors in which not all of the coefficients are zero. (a) {0·00- Linearly dependent, because the rank of the matrix is less than the number of 0-0 (b) columns. We have NIS 1 2] in R³, given that 1 -1 3 0 (c) • {0··}-· 0 1 ›{0.00} in R³, given that 1 2 3 ~ 1 2 2 Linearly independent, because the rank equals the number of columns. +02 +1 0 in R³. 3 = 0. [1 0 5/2 0 1-1/2 00 0 Linearly dependent. As in the previous cases we can form a matrix and row reduce it - this time we get a result with rank 2. In this case you might already be able to see that there is no way to get a nonzero entry in the third column even before you start row reducing. = 0. 00 1. Write = as a linear combination of the vectors V₁ Create a matrix with these columns: 2 [#] Read off the coefficients to get -1 = 3v₁ + 2v₂. 3 and V2 -H and row reduce to get 0 6:3 1
Expert Answer:
Related Book For
Posted Date:
Students also viewed these accounting questions
-
In Exercises, write B as a linear combination of the other matrices, if possible. a. b. c. 3 0 2 1 2 2 0 0 0 0 0 h"1-1 0 1 0 0 0 1 0 h"0 1]
-
Write B as a linear combination of the other matrices, if possible. -1 B = A, = A, = -3 2 A3
-
Write B as a linear combination of the other matrices, if possible. 6. -2 5 6. A, = B = -2 8 6. 5 6. 1 A2 A3 || || -1 A4 : -1 0.
-
Chiz enterprise reports its gross sales/receipts during the quarter as follows: Sale of computers Gross receipts - computer repairs Sales returns and allowances Sales discounts for early payments...
-
The following data represent the running times of films produced by two motion-picture companies. Compute a 90% confidence interval for the difference between the average running times of films...
-
Can a good argument be made that merit pay just doesn't work?
-
Dividends and AGM Decisions. Dividends are typically first announced during firms annual general meetings. Who decides on these dividends? What do dividends signal?
-
Relevance and faithful representation are the qualitative characteristics of useful information under SFAC 8. Evaluate these characteristics from an ethical perspective. That is, how does ethical...
-
Does the following transaction maximize shareholder wealth? Gym time can not merger and in 2022 it is expected to have EPS of 3.50 and trade at $90 per share. Alternatively, it can purchase Small Gym...
-
Calculate the Debt Service Coverage Ratio in year 10 for a $100,000,000 capital project with a 50/50 debt equity ratio, a cost of debt of 8%, a first year revenue of $8,000,000, a revenue inflation...
-
Question 3 (1 point) The following table shows CLV for A company. What is the CLV of the first year (please round it up)? Profit per Annual Customer Annual YearCustomerRetention Accounts Discount...
-
What are the challenges associated with virtual teamwork, and what strategies can teams employ to overcome barriers to collaboration, build trust, and maintain cohesion in distributed work...
-
What fiduciary responsibilities does a licensee have when representing a principal or client?
-
Employers are required to implement hearing conservation programs when work related hearing threshold shifts are evident. Features of the programs include: Question 10 options: voluntary...
-
What are the challenges associated with managing cultural diversity within multicultural organizations, and how can organizations foster an inclusive culture that celebrates diversity while...
-
What type of sentence fault results when a writer punctuates a broken - off part of a complex sentence as if it were a complete sentence?
-
Answer for B-2. An Investor buys three shares of XYZ at the beginning of 2015, buys another one shares at the beginning of 2016, sells one share at the beginning of 2017, and sells all three...
-
What is the expected payoff of an investment that yields $5,000 with a probability of 0.15 and $500 with a probability of 0.85? Select one: O a. $325 O b. $5,500 O c. $2,750 O d. $1,175
-
Calculate the amperages in each part of each network. (a) This is a simple network (b) Compare this one with the parallel case discussed above. (c) This is a reasonably complicated network 3 ohm 9...
-
Give a basis for the column space of this matrix. Give the matrix's rank. 204 120
-
Doing the computations by hand, find the determinant of the matrix A. 2421 3212 0103 2535
-
What does the theory of options contribute to the valuing of an investment?
-
Is the theory of options opposed to the theory of efficient markets?
-
Provide an example of a project where there is an option to abandon.
Study smarter with the SolutionInn App