The composition T o S : U W of two linear transformations T : V W and
Question:
Show that the composition transformation is also a linear transformation.
Transcribed Image Text:
(ToS)(i) = T(S(i)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
STv STv S7...View the full answer
Answered By
RADHIKA MEENAKAR
I am a qualified indian Company Secretary along with Masters in finance with over 6 plus years of professional experience. Apart from this i am a certified accounts and finance tutor on many online platforms.
My Linkedin profile link is here https://www.linkedin.com/in/radhika-meenakar-88b9808a/
5.00+
12+ Reviews
22+ Question Solved
Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
Question Posted:
Students also viewed these Linear Algebra questions
-
The commutator of two linear transformations L, M: V V on a vector space V is defined as K = [L, M) = L M - M L. (7.15) (a) Prove that the commutator K is a linear transformation. (b) Prove that L...
-
Find the matrix [T] CB of the linear transformation T : V W with respect to the bases B and C of V and W, respectively. Verify Theorem 6.26 for the vector v by computing T(v) directly and using the...
-
Let H V Rn, with H convex and V open, and suppose that : V Rn is C1. a) Show that if E is a closed subset of H and then h(x)/||h|| 0 uniformly on E, as h 0. b) Show that if R is a closed...
-
Timetrics 2016 survey of insurance professionals explores the use of technology in the industry. The file Technologies contains the responses to the question that asked what technologies these...
-
Hasbro used to manufacture a toy called Wonder World Aquarium. The toy included a powder that, when mixed with water, formed a gel that filled a plastic aquarium. Children could then place plastic...
-
Consider the following model: GNP t = 1 + 2 M t + 3 M t1 + 4 (M t M t1 ) + u t where GNP t = GNP at time t,M t = money supply at time t, Mt 1 = money supply at time (t 1), and (M t M t1 ) =...
-
Males Rating Females on OKCupid Exercise 2.188 introduced data showing the age of males that females find most attractive, based on the age of the females doing the rating. Here we examine the...
-
As the manager of a monopoly, you face potential government regulation. Your inverse demand is P = 25 Q, and your costs are C(Q) = 5Q. a. Determine the monopoly price and output. b. Determine the...
-
panel = Drawing Panel (160, 160) for i in range (0, 10): panel.draw rectangle (20, 20 + 100 10 * 1, 10 i, 10) Write variations of the above program that draw the figures at the lower right as output....
-
In the Ms. Betsy Davis case at the beginning of the chapter, the access point on the local network did not have security. This makes a man-in-the-middle attack much easier. a. Given what you learned...
-
Construct a matrix representation for the transformations in Problems a to c. and give a geometric interpretation of the mapping fromR2 to R2. Make sketches to illustrate your conclusions. a. T(x, y)...
-
For each linear transformation T: Rn Rm in Problems 1 to 3, determine the standard matrix A such that 1. T(x. y)= x + 2y 2. T(x. y)= (y. -x) 3. T(2, y) = (x + 2y,x - 2y) T(V) = AV.
-
The normal monthly temperatures in degrees Fahrenheit for Salt Lake City, Utah, are given in the graph. Use this graph to answer in below Exercise. Find the average temperature for October, November,...
-
Two automobiles are heading towards the same intersection. Car A is traveling east (taken to be the +x direction) at 23m/s while car B is traveling south (taken to be the -y direction) at 17m/s. What...
-
Find the direction of book's velocity, just before the book reaches the floor. Express your answer in degrees.
-
You toss a tennis ball straight upward. At the moment it leaves your hand it is at a height of 1.5 m above the ground, and it is moving at a speed of 7.6 m/s. (a) How much time does it take for the...
-
The rod below has equal amounts of positive and negative charge on each half. What is the direciton of the electric field at point P? Up and to the right Down To the left To the right Up
-
Two objects of the same mass travel in the same direction along a horizontal surface. Object X has a speed of 5 m/s and object Y has a speed of 2 m/s, as shown in the figure. After a period of time,...
-
For the following exercises, use a graph to help determine the domain of the functions. f(x)= 9-x x +4
-
Splitting hairs, if you shine a beam of colored light to a friend above in a high tower, will the color of light your friend receives be the same color you send? Explain.
-
In Problems 1 through 20, find a particular solution y p of the given equation. In all these problems, primes denote derivatives with respect to x. 4y" + 4y' + y = 3xe x
-
In Problems 1 through 6, express the solution of the given initial value problem as a sum of two oscillations as in Eq. (8). Throughout, primes denote derivatives with respect to time t. In Problems...
-
Problems 1 through 6, show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the given functions that vanishes identically....
-
given l o g x 5 = l o g 5 x solve for x
-
Solve the formula 8 x 3 y = - 1 9 for y .
-
Q6 Find the total amount for of the current balance for each underwriter and find out top 10 richest underwriter Q7 Create a pivot table for the entire data and find out the total current balance for...
Study smarter with the SolutionInn App