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# Solutions for Chapter 11-3: Rotation and Dilation Matrices ## Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition

ISBN: 9781559533911 Solutions for Chapter 11-3: Rotation and Dilation Matrices

Solutions for Chapter 11-3
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##### 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

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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