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Solutions for Chapter 11-3: Rotation and Dilation Matrices

Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster

Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition

ISBN: 9781559533911

Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster

Solutions for Chapter 11-3: Rotation and Dilation Matrices

Solutions for Chapter 11-3
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Textbook: Precalculus with Trigonometry: Concepts and Applications
Edition: 1
Author: Foerster
ISBN: 9781559533911

Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Since 21 problems in chapter 11-3: Rotation and Dilation Matrices have been answered, more than 19646 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11-3: Rotation and Dilation Matrices includes 21 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Anchor

    See Mathematical induction.

  • Angle between vectors

    The angle formed by two nonzero vectors sharing a common initial point

  • Common logarithm

    A logarithm with base 10.

  • Composition of functions

    (f ? g) (x) = f (g(x))

  • Compounded monthly

    See Compounded k times per year.

  • Convergence of a sequence

    A sequence {an} converges to a if limn: q an = a

  • Coordinate plane

    See Cartesian coordinate system.

  • Gaussian elimination

    A method of solving a system of n linear equations in n unknowns.

  • Limaçon

    A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

  • Magnitude of a vector

    The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

  • Measure of spread

    A measure that tells how widely distributed data are.

  • n factorial

    For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

  • Natural numbers

    The numbers 1, 2, 3, . . . ,.

  • Newton’s law of cooling

    T1t2 = Tm + 1T0 - Tm2e-kt

  • Odd function

    A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

  • Parametric equations for a line in space

    The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

  • Polar coordinate system

    A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

  • Semiperimeter of a triangle

    One-half of the sum of the lengths of the sides of a triangle.

  • Upper bound for ƒ

    Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

  • Zero vector

    The vector <0,0> or <0,0,0>.

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