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# Solutions for Chapter 11-7: Matrix Transformations and Fractal Figures

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

ISBN: 9781559533911

Solutions for Chapter 11-7: Matrix Transformations and Fractal Figures

Solutions for Chapter 11-7
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##### ISBN: 9781559533911

This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. Since 27 problems in chapter 11-7: Matrix Transformations and Fractal Figures have been answered, more than 19544 students have viewed full step-by-step solutions from this chapter. Chapter 11-7: Matrix Transformations and Fractal Figures includes 27 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Composition of functions

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

• Graph of a relation

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Inverse secant function

The function y = sec-1 x

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Permutation

An arrangement of elements of a set, in which order is important.

• 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)

• Principle of mathematical induction

A principle related to mathematical induction.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Subtraction

a - b = a + (-b)

• Upper bound for ƒ

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

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

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