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# Solutions for Chapter 10.5: DETERMINANTS AND CRAMERS RULE

## Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) | 4th Edition

ISBN: 9780534402303

Solutions for Chapter 10.5: DETERMINANTS AND CRAMERS RULE

Solutions for Chapter 10.5
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##### ISBN: 9780534402303

Chapter 10.5: DETERMINANTS AND CRAMERS RULE includes 70 full step-by-step solutions. Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780534402303. This textbook survival guide was created for the textbook: Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign), edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Since 70 problems in chapter 10.5: DETERMINANTS AND CRAMERS RULE have been answered, more than 24799 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Degree

Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

• Differentiable at x = a

ƒ'(a) exists

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Equivalent vectors

Vectors with the same magnitude and direction.

• Event

A subset of a sample space.

• Expanded form

The right side of u(v + w) = uv + uw.

• 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.

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Outcomes

The various possible results of an experiment.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Stemplot (or stem-and-leaf plot)

An arrangement of a numerical data set into a specific tabular format.

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

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