 10.5.1: In Exercises 1 6, evaluate the determinants
 10.5.2: In Exercises 1 6, evaluate the determinants
 10.5.3: In Exercises 1 6, evaluate the determinants
 10.5.4: In Exercises 1 6, evaluate the determinants
 10.5.5: In Exercises 1 6, evaluate the determinants
 10.5.6: In Exercises 1 6, evaluate the determinants
 10.5.7: In Exercises 712, refer to the following determinant:363 85 4 110 9...
 10.5.8: In Exercises 712, refer to the following determinant:363 85 4 110 9...
 10.5.9: In Exercises 712, refer to the following determinant:363 85 4 110 9...
 10.5.10: In Exercises 712, refer to the following determinant:363 85 4 110 9...
 10.5.11: In Exercises 712, refer to the following determinant:363 85 4 110 9...
 10.5.12: In Exercises 712, refer to the following determinant:363 85 4 110 9...
 10.5.13: Evaluate by expanding it along (a) the second row; (b) the third ro...
 10.5.14: In Exercises 14 24, evaluate the determinants.1 2 12 1 1402
 10.5.15: In Exercises 14 24, evaluate the determinants.5 10 151239 11 7
 10.5.16: In Exercises 14 24, evaluate the determinants.842393286
 10.5.17: In Exercises 14 24, evaluate the determinants.1 2 34 5 900 1
 10.5.18: In Exercises 14 24, evaluate the determinants.9 9 1244 677 5
 10.5.19: In Exercises 14 24, evaluate the determinants.8 7 8003 4 3005 2 500...
 10.5.20: In Exercises 14 24, evaluate the determinants.12 21 400 073 82 14
 10.5.21: In Exercises 14 24, evaluate the determinants.3000 19 00 0 10
 10.5.22: In Exercises 14 24, evaluate the determinants.6 8 1825 12 159 4 13 3 3
 10.5.23: In Exercises 14 24, evaluate the determinants.23 0 4737 0 1814 0 25
 10.5.24: In Exercises 14 24, evaluate the determinants.16 0 648 15 1230 20 10
 10.5.25: In Exercises 25 and 26, use a graphing utility to evaluate the dete...
 10.5.26: In Exercises 25 and 26, use a graphing utility to evaluate the dete...
 10.5.27: Consider the two determinants 3 1 23 7 4 5 9 26 3 and 3 10 20 30 7 ...
 10.5.28: Consider the two determinants (a) According to Item 3 in the Proper...
 10.5.29: In Exercises 29 and 30: (a) Evaluate the determinant as in Example ...
 10.5.30: In Exercises 29 and 30: (a) Evaluate the determinant as in Example ...
 10.5.31: This exercise refers to the fourbyfour determinant A on page 790....
 10.5.32: Use the method illustrated in Example 3 to show that111abca3 b3 c33...
 10.5.33: Use the method shown in Example 3 to express the determinant as a p...
 10.5.34: Show that2 3 111 a2 b2 c2 a3 b3 c3 3 1b a2 1c a2 1bc2 b2 c ac2 ab2 2
 10.5.35: Simplify the determinant11 11 1 x 1111 y
 10.5.36: Use the method shown in Example 3 to express the following determin...
 10.5.37: Verify the following statements (from Example 5).
 10.5.38: Consider the following system: (a) Without doing any calculations, ...
 10.5.39: In Exercises 39 46, use Cramers rule to solve those systems for whi...
 10.5.40: In Exercises 39 46, use Cramers rule to solve those systems for whi...
 10.5.41: In Exercises 39 46, use Cramers rule to solve those systems for whi...
 10.5.42: In Exercises 39 46, use Cramers rule to solve those systems for whi...
 10.5.43: In Exercises 39 46, use Cramers rule to solve those systems for whi...
 10.5.44: In Exercises 39 46, use Cramers rule to solve those systems for whi...
 10.5.45: In Exercises 39 46, use Cramers rule to solve those systems for whi...
 10.5.46: In Exercises 39 46, use Cramers rule to solve those systems for whi...
 10.5.47: In Exercises 47 and 48, use Cramers rule along with a graphing util...
 10.5.48: In Exercises 47 and 48, use Cramers rule along with a graphing util...
 10.5.49: Find all values of x for which 3 x 40 0 0 x 4 0 0 0 x 1 3 0
 10.5.50: Find all values of x for which
 10.5.51: By expanding the determinant down the first column, show that its v...
 10.5.52: By expanding the determinant along its first row, show that it is e...
 10.5.53: Show thata1 A1 b1 c1a2 A2 b2 c2a3 A3 b3 c33 3a1 b1 c1a2 b2 c2a3 b3 ...
 10.5.54: Show that3a1 b1 c1a2 b2 c2a3 b3 c33 3a1 kb1 b1 c1a2 kb2 b2 c2a3 kb3...
 10.5.55: By expanding each determinant along a row or column, show thata1 b1...
 10.5.56: Solve for x in terms of a, b, and c:3aaxcccbxb 3 0 1c 02
 10.5.57: Show that 4 1 b1 a 1111 1 b 1 11 11 c 11 1 11 d4
 10.5.58: Show that1 a a2a2 1 aa a2 13 1a3 12
 10.5.59: Show that31 bc b c1 ca c a1 ab a b3 1b c2 1c a2 1a b23
 10.5.60: Evaluate the determinantab ca a b a b ca 2a b 3a 2b c310
 10.5.61: Show that1 aaa1 baa1 aba1 aab 4 1b a23
 10.5.62: Show thata 1111 a 1 11 1 a 1111 a4 1a 1231a 32
 10.5.63: Solve the following system for x, y, and z: (Assume that the values...
 10.5.64: Show that the equation represents a line that has slope m and passe...
 10.5.65: For Exercise 65, use the fact that the equation of a line passing t...
 10.5.66: For Exercise 66, use the fact that the equation of a circle passing...
 10.5.67: Show that the area of the triangle in Figure A is Hint: Figure B in...
 10.5.68: This exercise completes the derivation of Cramers rule given in the...
 10.5.69: Let D denote the determinant of the matrix(a) Show that the inverse...
 10.5.70: Let A and B Is it true that det (AB) (det(A))(det(B))?
Solutions for Chapter 10.5: DETERMINANTS AND CRAMERS RULE
Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign)  4th Edition
ISBN: 9780534402303
Solutions for Chapter 10.5: DETERMINANTS AND CRAMERS RULE
Get Full SolutionsChapter 10.5: DETERMINANTS AND CRAMERS RULE includes 70 full stepbystep solutions. Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (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 CDROM) (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 stepbystep solutions from this chapter.

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 stemandleaf 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 xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.