 7.2.7.1.1.81: In Exercises 14, the points (a) and (b) are reflected across the gi...
 7.2.7.1.1.82: In Exercises 14, the points (a) and (b) are reflected across the gi...
 7.2.7.1.1.83: In Exercises 14, the points (a) and (b) are reflected across the gi...
 7.2.7.1.1.84: In Exercises 14, the points (a) and (b) are reflected across the gi...
 7.2.7.1.1.85: In Exercises 5 and 6, express the coordinates of P in terms of .
 7.2.7.1.1.86: In Exercises 5 and 6, express the coordinates of P in terms of .
 7.2.7.1.1.87: In Exercises 710, expand the expression.sin 1a + b2
 7.2.7.1.1.88: In Exercises 710, expand the expression.sin 1a  b2
 7.2.7.1.1.89: In Exercises 710, expand the expression.cos 1a + b2
 7.2.7.1.1.90: In Exercises 710, expand the expression.cos 1a  b2
 7.2.7.1.1.91: In Exercises 16, determine the order of the matrix. Indicate whethe...
 7.2.7.1.1.92: In Exercises 16, determine the order of the matrix. Indicate whethe...
 7.2.7.1.1.93: In Exercises 16, determine the order of the matrix. Indicate whethe...
 7.2.7.1.1.94: In Exercises 16, determine the order of the matrix. Indicate whethe...
 7.2.7.1.1.95: In Exercises 16, determine the order of the matrix. Indicate whethe...
 7.2.7.1.1.96: In Exercises 16, determine the order of the matrix. Indicate whethe...
 7.2.7.1.1.97: In Exercises 710, identify the element specified for the following ...
 7.2.7.1.1.98: In Exercises 710, identify the element specified for the following ...
 7.2.7.1.1.99: In Exercises 710, identify the element specified for the following ...
 7.2.7.1.1.100: In Exercises 710, identify the element specified for the following ...
 7.2.7.1.1.101: In Exercises 1116, find (a) , (b) , (c) 3A, and (d) .A = c 2 3 1 5...
 7.2.7.1.1.102: In Exercises 1116, find (a) , (b) , (c) 3A, and (d) .A = C 10 2 4 ...
 7.2.7.1.1.103: In Exercises 1116, find (a) , (b) , (c) 3A, and (d) .A = C 3 1 0 ...
 7.2.7.1.1.104: In Exercises 1116, find (a) , (b) , (c) 3A, and (d) .A = c 5 231 ...
 7.2.7.1.1.105: In Exercises 1116, find (a) , (b) , (c) 3A, and (d) .A = C 2 1 0 S...
 7.2.7.1.1.106: In Exercises 1116, find (a) , (b) , (c) 3A, and (d) .A = 31 2 0 3...
 7.2.7.1.1.107: In Exercises 1722, use the definition of matrix multiplication to f...
 7.2.7.1.1.108: In Exercises 1722, use the definition of matrix multiplication to f...
 7.2.7.1.1.109: In Exercises 1722, use the definition of matrix multiplication to f...
 7.2.7.1.1.110: In Exercises 1722, use the definition of matrix multiplication to f...
 7.2.7.1.1.111: In Exercises 1722, use the definition of matrix multiplication to f...
 7.2.7.1.1.112: In Exercises 1722, use the definition of matrix multiplication to f...
 7.2.7.1.1.113: In Exercises 2328, find (a) AB and (b) BA, or state that the produc...
 7.2.7.1.1.114: In Exercises 2328, find (a) AB and (b) BA, or state that the produc...
 7.2.7.1.1.115: In Exercises 2328, find (a) AB and (b) BA, or state that the produc...
 7.2.7.1.1.116: In Exercises 2328, find (a) AB and (b) BA, or state that the produc...
 7.2.7.1.1.117: In Exercises 2328, find (a) AB and (b) BA, or state that the produc...
 7.2.7.1.1.118: In Exercises 2328, find (a) AB and (b) BA, or state that the produc...
 7.2.7.1.1.119: In Exercises 2932, solve for a and b.c a 3 4 2 d = c 5 3 4 b d
 7.2.7.1.1.120: In Exercises 2932, solve for a and b.c 1 1 0 a 2 1 d = c 1 b 0 3 ...
 7.2.7.1.1.121: In Exercises 2932, solve for a and b.2 a  1 2 3 1 2 S = C 2 3 b ...
 7.2.7.1.1.122: In Exercises 2932, solve for a and b.c a + 3 2 0 5 d = c 4 2 0 b  1 d
 7.2.7.1.1.123: In Exercises 33 and 34, verify that the matrices are inverses of ea...
 7.2.7.1.1.124: In Exercises 33 and 34, verify that the matrices are inverses of ea...
 7.2.7.1.1.125: In Exercises 3540, find the inverse of the matrix if it has one, or...
 7.2.7.1.1.126: In Exercises 3540, find the inverse of the matrix if it has one, or...
 7.2.7.1.1.127: In Exercises 3540, find the inverse of the matrix if it has one, or...
 7.2.7.1.1.128: In Exercises 3540, find the inverse of the matrix if it has one, or...
 7.2.7.1.1.129: In Exercises 3540, find the inverse of the matrix if it has one, or...
 7.2.7.1.1.130: In Exercises 3540, find the inverse of the matrix if it has one, or...
 7.2.7.1.1.131: In Exercises 41 and 42, use the definition to evaluate the determin...
 7.2.7.1.1.132: In Exercises 41 and 42, use the definition to evaluate the determin...
 7.2.7.1.1.133: In Exercises 43 and 44, solve for X.3X + A = B, where A = c 1 3 d a...
 7.2.7.1.1.134: In Exercises 43 and 44, solve for X.2X + A = B, where A = c 1 2 0 ...
 7.2.7.1.1.135: Symmetric Matrix The matrix below gives the road mileage between At...
 7.2.7.1.1.136: Production Jordan Manufacturing has two factories, each of which ma...
 7.2.7.1.1.137: Egg Production Happy Valley Farms produces three types of eggs: 1 (...
 7.2.7.1.1.138: Inventory A company sells four models of one name brand allinone ...
 7.2.7.1.1.139: Profit A discount furniture store sells four types of 5piece bedro...
 7.2.7.1.1.140: Construction A building contractor has agreed to build six ranchst...
 7.2.7.1.1.141: Rotating Coordinate Systems The xycoordinate system is rotated thr...
 7.2.7.1.1.142: Group Activity Let A, B, and C be matrices whose orders are such th...
 7.2.7.1.1.143: Group Activity Let A and B be matrices and c and d scalars. Prove t...
 7.2.7.1.1.144: Writing to Learn Explain why the definition given for the determina...
 7.2.7.1.1.145: Inverse of a Matrix Prove that the inverse of the matrix provided
 7.2.7.1.1.146: Identity Matrix Let be an matrix. Prove that
 7.2.7.1.1.147: In Exercises 5761, prove that the image of a point under the given ...
 7.2.7.1.1.148: In Exercises 5761, prove that the image of a point under the given ...
 7.2.7.1.1.149: In Exercises 5761, prove that the image of a point under the given ...
 7.2.7.1.1.150: In Exercises 5761, prove that the image of a point under the given ...
 7.2.7.1.1.151: In Exercises 5761, prove that the image of a point under the given ...
 7.2.7.1.1.152: True or False Every square matrix has an inverse. Justify your answer.
 7.2.7.1.1.153: True or False The determinant of the square matrix A is greater tha...
 7.2.7.1.1.154: Which of the following is equal to the determinant of (A) 4 (B) (C)...
 7.2.7.1.1.155: Let A be a matrix of order and B a matrix of order . Which of the f...
 7.2.7.1.1.156: Which of the following is the inverse of the matrix (A) (B) (C) (D)...
 7.2.7.1.1.157: Which of the following is the value of in the matrix (A) (B) 7 (C) ...
 7.2.7.1.1.158: Continuation of Exploration 2 Let be an matrix. (a) Prove that the ...
 7.2.7.1.1.159: Continuation of Exercise 68 Let be an matrix. (a) Prove that if eve...
 7.2.7.1.1.160: Writing Equations for Lines Using Determinants Consider the equatio...
 7.2.7.1.1.161: Continuation of Example 10 The xycoordinate system is rotated thro...
 7.2.7.1.1.162: Characteristic Polynomial Let be a matrix and define (a) Expand the...
 7.2.7.1.1.163: Characteristic Polynomial Let be a matrix and define (a) Expand the...
Solutions for Chapter 7.2: Systems and Matrices
Full solutions for Precalculus: Graphical, Numerical, Algebraic  8th Edition
ISBN: 9780321656933
Solutions for Chapter 7.2: Systems and Matrices
Get Full SolutionsPrecalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. Chapter 7.2: Systems and Matrices includes 83 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. Since 83 problems in chapter 7.2: Systems and Matrices have been answered, more than 43255 students have viewed full stepbystep solutions from this chapter.

Cofunction identity
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

Cycloid
The graph of the parametric equations

Distributive property
a(b + c) = ab + ac and related properties

Endpoint of an interval
A real number that represents one “end” of an interval.

Equal matrices
Matrices that have the same order and equal corresponding elements.

Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.

Frequency table (in statistics)
A table showing frequencies.

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Line graph
A graph of data in which consecutive data points are connected by line segments

nth root of a complex number z
A complex number v such that vn = z

nth root of unity
A complex number v such that vn = 1

Polynomial in x
An expression that can be written in the form an x n + an1x n1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

Principal nth root
If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Range screen
See Viewing window.

Series
A finite or infinite sum of terms.

Slopeintercept form (of a line)
y = mx + b

Standard form of a complex number
a + bi, where a and b are real numbers

yintercept
A point that lies on both the graph and the yaxis.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.