Question: Please help how to show this line Y= 2x + 1 is not closed under vector addition nor under scalar multiplication. I can see that

Please help how to show this line Y= 2x + 1 is not closed under vector addition nor under scalar multiplication. I can see that it does not have the zero vector because the line missed the point (0,0). See problem attached. Thank You

Please help how to show this line Y= 2x + 1 is

\f

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!

Q:

Hi there, For this unit I did vectors and applications (vector addition, scalar multiplication, R3, component vectors in R3 and R2, spanning sets, vectors as velocity, vectors as forces, Dot product,...

Q:

Hi there, For this unit I did vectors and applications (vector addition, scalar multiplication, R3, component vectors in R3 and R2, spanning sets, vectors as velocity, vectors as forces, Dot product,...

Q:

Hi there, For this unit I did vectors and applications (vector addition, scalar multiplication, R3, component vectors in R3 and R2, spanning sets, vectors as velocity, vectors as forces, Dot product,...

Q:

Problem 1. (1 paint) Problem 3. (1 point Let V - R' and let # be the subset of V of all points on Determine if the subset of R' consisting of vectors of the form the line -2x- 3y - 0. Is H a subspace...

Q:

for part 5 chose one a or b 1. The following matrices are related. A' is row-equivalent to A, and A" is the transpose of A. Use this information to complete the following: N 2 1 -6 00 Co its co 3 A =...

Q:

University: Scalar Multiplication; Vectors; Additive inverses; Need answers ASAP please Find the distance from the point (4.3) to line (") = (4) +(7) Find the general equation of the plane through...

Q:

Using All 10 terms of Vector Space definition, determine if it is a vector space or not. if it is please use all terms and explain all terms. thanks Vector space 1.1 Definition A vector space (over...

Q:

Did I get this right? I am trying to prove that the set T satisfies Properties of a subspace. Part C: For each of the following subsets, do the following: 1. Let :'Lbe a subset of the vector space...

Q:

Using All 10 terms of Vector Space definition, determine if it is a vector space or not. if it is please use all terms and explain all terms. thanks Vector space 1.1 Definition A vector space (over...

Q:

The function T : 1R2 } R3 is dened by Show that T is linear. To malte sure you are on the right track you should answer the following questions. a. Is the domain of T a known vector space? I Yes 1" I...

Q:

The use of the British thermal unit (Btu) is common in much engineering work. A Btu is the amount of heat required to raise the temperature of 1 lb of water by 1 F. Calculate the number of joules in...

Q:

A handheld pump for a bicycle has a volume of 25 cm3 when fully extended. You now press the plunger (piston) in while holding your thumb over the exit hole so that an air pressure of 300 kPa is...

Q:

Question 3 0 In exchange for a thirty percent ( 3 0 % ) interest in capital and profits, Veronica contributes property subject to a $ 1 0 , 0 0 0 liability to a Partnership. Veronica's basis in the...

Q:

Please answer the questions 18.13, 26.1 and 26.2 with your detailed explanations, it's much appreciated! 8.13 On 1 October 20X6, N Co had 400,000 25c ordinary shares in issue. On 1 January 20X7 there...