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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 30663 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Amplitude

See Sinusoid.

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Horizontal translation

A shift of a graph to the left or right.

• Identity properties

a + 0 = a, a ? 1 = a

• Index of summation

See Summation notation.

• Inverse reflection principle

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Length of a vector

See Magnitude of a vector.

• Logarithmic re-expression of data

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

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Reflection

Two points that are symmetric with respect to a lineor a point.

• 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.

• Upper bound for ƒ

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

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

• 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>.

• Xscl

The scale of the tick marks on the x-axis in a viewing window.

• Zero vector

The vector <0,0> or <0,0,0>.

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