Let a be a fixed nonzero vector in R2. A mapping of the form L(x) = x
Question:
L(x) = x + a
is called a translation. Show that a translation is not a linear operator. Illustrate geometrically the effect of a translation.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 84% (13 reviews)
If 1 then L x x a x a ...View the full answer
Answered By
Mugdha Sisodiya
My self Mugdha Sisodiya from Chhattisgarh India. I have completed my Bachelors degree in 2015 and My Master in Commerce degree in 2016. I am having expertise in Management, Cost and Finance Accounts. Further I have completed my Chartered Accountant and working as a Professional.
Since 2012 I am providing home tutions.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
In Exercise 1 - 4, let 1 . (u, v) is the inner product of Example 7.2. Compute (a) (u, v) (b) ||u|| (c) d(u, v) 2. (u, v) is the inner product of Example 7.3 with Compute (a) (u, v) (b) ||u|| (c)...
-
Let A be a matrix of the form where α and β are fixed scalars not both equal to 0. (a) Explain why the system must be inconsistent. (b) How can one choose a nonzero vector b...
-
Let L R2 be a line through the origin in the direction of the unit vector u. (a) Prove that the matrix representative of reflection through L is R = 2uuT - 1. (b) Find the corresponding formula for...
-
Write mission and vision statements for four companies of youre choosing. Companies like star bucks, southwest airlines, Costco, etc., are examples of ones that have developed effective mission and...
-
How can opening up to capital flows from abroad lead to a financial crisis?
-
Carl has had a couple of good years in his new business. However, in the current year he has a net operating loss of $80,000. He does not feel that the future of his business is very bright. As his...
-
A 100 c.c. I.C. engine means that its (a) swept volume is 100 c.c. (b) clearance volume is 100 c.c. (c) clearance + swept volume is 100 c.c. (d) swept clearance volume is 100 c.c.
-
On January 1, 2017, Xiamen Company made amendments to its defined benefit pension plan that resulted in 60,000 yuan of past service cost. The plan has 5,000 active employees with an average expected...
-
respond to the discussion In the IMA article, Activity-Based Costing (ABC) is explained as a cost allocation technique that traces indirect costs (often referred to as "overhead") to specific cost...
-
The following data are based on information in the 2017 annual report of YUM! Brands, Inc. YUM! Brands is the parent company of KFC, Pizza Hut, and Taco Bell. As of December 31, 2017, the parent...
-
Let D be the differentiation operator on P3, and let 5 = [p P3| p(0) = 0) Show that (a) D maps P3, onto the subspace P2, but D: P3 P2 is not one-to-one. (b) D: S P3 is one-to-one but not onto.
-
Let L: R2 R2 be a linear operator. If L((1,2)T) = (-2,3)T and L((l,-1)T) = (5, 2)T determine the value of L((7, 5)T).
-
In Problems 1724, convert the given time period to years, in fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a year]....
-
A light-weight potter's wheel, having a moment of inertia of 24kg.m^2is spinning freely at 0.67 rev/sec. The potter drops a small but dense lump of clay (treat the clay as a point mass) onto the...
-
Summarize how the interviewees characterized the presence, absence, and/or degree of psychological safety within their organizations.
-
A golf club is swung starting from rest with an angular acceleration of 499.84 degrees/s 2 to reach an angular velocity of 382.95 degrees/s. Determine the rotation (degrees; enter unit as "deg") of...
-
Starshine Operating Assumptions $42.90 BV $36.00 IB $62.50 Stock Price $42.90 WACC $46.78 APV $45.35 Operating Assumptions for Starshine Copy to Clipboard 0.0 Increase in Domestic Revenues ($M) 0.0...
-
Summarize all the topics that are discussed in this youtube video. The video is called Economic Update: American's Self Image VS Reality. Also talk about if you agree with it or not.
-
For the following exercises, prove or disprove the statements. tan(u + v) = tan u + tan v 1 tan u tan v
-
Beginning with a country that has a trade deficit, demonstrate graphically what will happen to a countrys potential output with globalization if that countrys costs of production fall. Explain your...
-
Let be linear transformations. Show that Ro(S ° T) = (R ° S)°T by showing directly that [Ro(S° T)](X) = [(R o S) o T](X) holds for each vector X in Rn. R" LR" R, R
-
In each case assume that the transformation T is linear, and use Theorem 2 to obtain the matrix A of T. (a) T": R2 R2 is reflection in the line y = -x. (b) T: R2 R2 is given by T(X) = -X for each X...
-
In each case use Theorem 2 to obtain the matrix A of the transformation T. You may assume that T is linear in each case. (a) T: R3 R3 is reflection in the x-z plane. (b) T: R3 R3 is reflection in...
-
A force in the positive direction of an x axis acts on an object moving along that axis. If the magnitude of the force is F = 7.2e*/3.1 N, with x in meters, find the work done by as the object moves...
-
A horizontal board of negligible thickness and area 4.0 m hangs from a spring scale that reads 60 N when a 2.0 m/s wind moves below the board. The air above the board is stationary. When the wind...
-
The only force acting on a 2.2 kg body as it moves along the positive x axis has an x component Fx = -5x N, where x is in meters. The velocity of the body at x = 2.5 m is 9.0 m/s. (a) What is the...
Study smarter with the SolutionInn App