×
Log in to StudySoup
Get Full Access to Elementary Linear Algebra With Applications - 9 Edition - Chapter 6.1 - Problem 1
Join StudySoup for FREE
Get Full Access to Elementary Linear Algebra With Applications - 9 Edition - Chapter 6.1 - Problem 1

Already have an account? Login here
×
Reset your password

Which of the following functions are linear transfonnalions?(a) L: R1 ....... R3 defined

Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill ISBN: 9780132296540 301

Solution for problem 1 Chapter 6.1

Elementary Linear Algebra with Applications | 9th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill

Elementary Linear Algebra with Applications | 9th Edition

4 5 1 255 Reviews
11
1
Problem 1

Which of the following functions are linear transfonnalions?(a) L: R1 ....... R3 defined byL([II] IId) = [1I 1+ 1 11 2 11 1+112](b) L: Rz ..... R3 defined by L([1I1 lid) = [II I + l

Step-by-Step Solution:
Step 1 of 3

Calculus 3 Week 4: Partial Derivatives ' Recall that the derivative f (x) represents the rate of change of the function as x changes. When we have partial derivatives, it just means we have more than one variable to keep track of. We will treat the other variables as constants while we differentiate the function with respect to the variable in question. Examples 2 a) f(x ,y)=3x+2y Let’s first differentiate with respect to . Remember we treat y as a constant. ∂x =3 ∂ f That’s it! Yes! Remember, constants have derivatives of zero! Now let’s differentiate with respect to y , treating x as constant. ∂y =4y ∂ f That’s not so bad right Ha! Get ready for so more difficult ones! b) f(x =x +sin xy +tan (z ) Now we have three variables to work with so we need to find 3 partial derivatives. First, let’s differentiate with respect to . ∂x 2 =3x +ycos(xy) ∂ f You did remember the chain rule right We have a function inside of a function so we need to differentiate the outside first and then differentiate the inside. The derivative of sin(xy) is cos(xy) and the derivative of xy with y as a constant is just y. Now, we differentiate with respect to y . There is only one term with y in it and we kinda found it already. ∂y =x

Step 2 of 3

Chapter 6.1, Problem 1 is Solved
Step 3 of 3

Textbook: Elementary Linear Algebra with Applications
Edition: 9
Author: Bernard Kolman David Hill
ISBN: 9780132296540

Other solutions

Discover and learn what students are asking

Calculus: Early Transcendental Functions : Functions of Several Variables
?In Exercises 15 - 22, find all first partial derivatives. \(f(x, y)=e^{x} \cos y\)



Calculus: Early Transcendental Functions : Iterated Integrals and Area in the Plane
?In Exercises 1 - 10, evaluate the integral. \(\int_{x}^{x^{2}} \frac{y}{x} d y\)

Calculus: Early Transcendental Functions : Iterated Integrals and Area in the Plane
?In Exercises 1 - 10, evaluate the integral. \(\int_{1}^{2 y} \frac{y}{x} d x, \quad y>0\)





Statistics: Informed Decisions Using Data : Comparing Three or More Means (One-Way Analysis of Variance)
?True or False: To perform a one-way ANOVA, the populations must have the same variance.

Statistics: Informed Decisions Using Data : The Randomized Complete Block Design
?Name the two ways that a researcher can deal with explanatory variables in a designed experiment.


People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Which of the following functions are linear transfonnalions?(a) L: R1 ....... R3 defined