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# Solutions for Chapter 8: Matrices and Determinants

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 8: Matrices and Determinants

Solutions for Chapter 8
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##### ISBN: 9780618643448

Precalculus was written by and is associated to the ISBN: 9780618643448. Chapter 8: Matrices and Determinants includes 131 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Since 131 problems in chapter 8: Matrices and Determinants have been answered, more than 14992 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Gaussian curve

See Normal curve.

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Logarithmic form

An equation written with logarithms instead of exponents

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• n-set

A set of n objects.

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• One-to-one rule of exponents

x = y if and only if bx = by.

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Phase shift

See Sinusoid.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Semimajor axis

The distance from the center to a vertex of an ellipse.

• Stem

The initial digit or digits of a number in a stemplot.

• Tangent

The function y = tan x

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

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