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# Solutions for Chapter 4: Determinants

## Full solutions for Linear Algebra and Its Applications, | 4th Edition

ISBN: 9780030105678

Solutions for Chapter 4: Determinants

Solutions for Chapter 4
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##### ISBN: 9780030105678

Since 139 problems in chapter 4: Determinants have been answered, more than 11236 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Linear Algebra and Its Applications,, edition: 4. Linear Algebra and Its Applications, was written by and is associated to the ISBN: 9780030105678. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4: Determinants includes 139 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• Coordinate plane

See Cartesian coordinate system.

• Cosine

The function y = cos x

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• equation of a hyperbola

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

• Equivalent systems of equations

Systems of equations that have the same solution.

• 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.

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Real number

Any number that can be written as a decimal.

• Residual

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• Solution set of an inequality

The set of all solutions of an inequality

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Weights

See Weighted mean.

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