Let A be a fixed 3 x 3 matrix; also let L: M33 M33 be defined

Question:

Let A be a fixed 3 x 3 matrix; also let L: M33 → M33 be defined by L(X) = AX - XA, for X in A33. Show that L is a linear transformation.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

See More Books

Question Posted: Jun 21, 2016 07:09 AM

See More Questions

Let L: R2 R2 be defined by L(x) = Ax, for x in R2, where A is an orthogonal matrix? (a) Prove that if det(A) = 1, then L is a counterclockwise rotation? (b) Prove that if det(A) = -1, then L is a...
Let A be an nxn matrix and suppose that L: Mnn Mnn is defined by L(X) = AX, for X in Mnn. Show that L is a linear transformation.
Let A be an m x n matrix, and consider the linear trans-formation L: Rn Rm defined by L(x) = Ax, for x in R". Show that Range L = column space of A.
Jimmy and Elizabeth plan on getting married on the 15th of August. Elizabeth decides that she would prefer to have the reception in her backyard, so she rents an event tent from CELEBRATE Ltd, a firm...
Discuss why contractors must make bid/no-bid decisions and the factors involved in making these decisions. Give an example of when a contractor should bid and when a contractor should not bid.
Determine the tax basis of the business asset acquired in each of the following cases: a. Firm L paid $5,950 cash plus $416 sales tax plus a $500 installation charge for a satellite dish. b. TTP Inc....
Draw the energy line and the hydraulic grade line for the flow of Problem 3.90. Problem 3.90 Water flows from a large tank as shown in Fig. P3.90. Atmospheric pressure is $14.5 \mathrm{psia}$, and...
A sinking fund can be set up in one of two ways. Discuss the advantages and disadvantages of each procedure from the viewpoint of both the firm and its bondholders.
Building a sense of community is not just a moral thing to do, but also a pragmatic one. In today's competitive and ever-evolving business environment, the organizations that can attract the most...
Jogger 1 in FIGURE 11-51 has a mass of 65.3 kg and runs in a straight line with a speed of 3.35 m/s. (a) What is the magnitude of the jogger's linear momentum? (b) What is the magnitude of the...
Find the standard matrix representing each given linear transformation. (a) Projection mapping R3 into the xy-plane (b) Dilation mapping R3 into R3 (c) Reflection with respect to the x-axis mapping...
Let V be an inner product space and let w be a fixed vector in V. Let L: V R be defined by L(v) = (v, w) for v in V. Show that L is a linear transformation.
Draw and explain the functioning of a typical recurrent neural network unit.
Which is the first line to not compile? A. Line m1 B. Line m2 C. Line m3 D. Line m4 E. None of the above interface Building { default Double getHeight () { return 1.0; } // m1 } interface Office {...
Given the diagram in the previous question, how many of the classes shown in the diagram can call the display() method? A. Zero B. One C. Two D. Three E. Four m.light Flashlight com. private...
What is the output of the following application? A. 2 B. 5 C. The first line with a compiler error is line q1. D. The first line with a compiler error is line q2. E. The first line with a compiler...
Which of the following are correct? (Choose two.) public class Phone { private int size; // insert constructor here public static void sendHome (Phone p, int newSize) { p = new Phone (newSize);...
Fill in the blanks: The ___________________ access modifier allows access to everything the ___________________ access modifier does and more. A. package-private, private B. private, protected C....
What would be the average tax rate for a person who paid taxes of $4,706 on taxable income of $40,780?
Decades after the event, Johnson & Johnson (J&J), the 130-year-old American multinational, is still praised for swiftly The company indicated that its response was based on the expectations set forth...
y varies jointly as x and z and inversely as the product of w and p, and y = 3 / 28 when x = 3, z = 10, w = 7, and p = 8 Find an equation of variation for the given situation.
y varies jointly as x and z and inversely as the square of w, and y = 12 / 5 when x = 16, z = 3, and w = 5 Find an equation of variation for the given situation.
The intensity I of light from a light bulb varies inversely as the square of the distance d from the bulb. Suppose that I is 90 W/m2 (watts per square meter) when the distance is 5 m. How much...
Milden Company is a merchandiser that plans to sell 4 1 , 0 0 0 units during the next quarter at a selling price of $ 5 9 per unit. The company also gathered the following cost estimates for the next...
How do organizational learning theories, such as the learning organization concept and knowledge management practices, contribute to sustained competitive advantage and organizational resilience in...
Harbert, Incorporated had a beginning balance of $12,000 in its Accounts Receivable account. The ending balance of Accounts Receivable was $10,500. During the period, Harbert collects $72,000 of its...

Let A be a fixed 3 x 3 matrix; also let L: M33 M33 be defined

Question:

Step by Step Answer:

We have LX Y AX Y X YA ...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions