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# Solutions for Chapter 7.5: Systems and Matrices

## Full solutions for Precalculus: Graphical, Numerical, Algebraic | 8th Edition

ISBN: 9780321656933

Solutions for Chapter 7.5: Systems and Matrices

Solutions for Chapter 7.5
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##### ISBN: 9780321656933

Since 62 problems in chapter 7.5: Systems and Matrices have been answered, more than 41615 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. Chapter 7.5: Systems and Matrices includes 62 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition.

Key Calculus Terms and definitions covered in this textbook
• Arccotangent function

See Inverse cotangent function.

• Composition of functions

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

• Constant of variation

See Power function.

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Horizontal translation

A shift of a graph to the left or right.

• Instantaneous rate of change

See Derivative at x = a.

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Multiplicative identity for matrices

See Identity matrix

• Nonsingular matrix

A square matrix with nonzero determinant

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Rational zeros

Zeros of a function that are rational numbers.

• Real part of a complex number

See Complex number.

• Rose curve

A graph of a polar equation or r = a cos nu.

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Vertical stretch or shrink

See Stretch, Shrink.

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