 8.2.1: Two matrices are ________ when their corresponding entries are equal.
 8.2.2: When performing matrix operations, real numbers are often referred ...
 8.2.3: A matrix consisting entirely of zeros is called a ________ matrix a...
 8.2.4: The matrix consisting of 1s on its main diagonal and 0s elsewhere i...
 8.2.5: In Exercises 58, find and y x72y 47222
 8.2.6: In Exercises 58, find and y 5yx8 512138
 8.2.7: In Exercises 58, find and y 163041325154460 163041322x 1153y 543x0
 8.2.8: In Exercises 58, find and y x 21782y232xy 2 2x 61781823811
 8.2.9: In Exercises 916, ifpossible, find (a)A B (b) A B,(c) 3A and (d) 3A...
 8.2.10: In Exercises 916, ifpossible, find (a)A B (b) A B,(c) 3A and (d) 3A...
 8.2.11: In Exercises 916, ifpossible, find (a)A B (b) A B,(c) 3A and (d) 3A...
 8.2.12: In Exercises 916, ifpossible, find (a)A B (b) A B,(c) 3A and (d) 3A...
 8.2.13: In Exercises 916, ifpossible, find (a)A B (b) A B,(c) 3A and (d) 3A...
 8.2.14: In Exercises 916, ifpossible, find (a)A B (b) A B,(c) 3A and (d) 3A...
 8.2.15: In Exercises 916, ifpossible, find (a)A B (b) A B,(c) 3A and (d) 3A...
 8.2.16: In Exercises 916, ifpossible, find (a)A B (b) A B,(c) 3A and (d) 3A...
 8.2.17: In Exercises 1722,evaluate the expression. 5306 7211 101486
 8.2.18: In Exercises 1722,evaluate the expression. 6180 0351 11271
 8.2.19: In Exercises 1722,evaluate the expression. 4400213 231620
 8.2.20: In Exercises 1722,evaluate the expression. 125 2 4 0 14 6 18 9
 8.2.21: In Exercises 1722,evaluate the expression. 30732 6831 24749
 8.2.22: In Exercises 1722,evaluate the expression. 1 4291113165301413 796511
 8.2.23: In Exercises 2326, usethe matrix capabilities of a graphing utility...
 8.2.24: In Exercises 2326, usethe matrix capabilities of a graphing utility...
 8.2.25: In Exercises 2326, usethe matrix capabilities of a graphing utility...
 8.2.26: In Exercises 2326, usethe matrix capabilities of a graphing utility...
 8.2.27: In Exercises 2734,solve for in the equation, where A [ ]. 213104] a...
 8.2.28: In Exercises 2734,solve for in the equation, where A [ ]. 213104] a...
 8.2.29: In Exercises 2734,solve for in the equation, where A [ ]. 213104] a...
 8.2.30: In Exercises 2734,solve for in the equation, where A [ ]. 213104] a...
 8.2.31: In Exercises 2734,solve for in the equation, where A [ ]. 213104] a...
 8.2.32: In Exercises 2734,solve for in the equation, where A [ ]. 213104] a...
 8.2.33: In Exercises 2734,solve for in the equation, where A [ ]. 213104] a...
 8.2.34: In Exercises 2734,solve for in the equation, where A [ ]. 213104] a...
 8.2.35: In Exercises3542, if possible, find and state the order of theresul...
 8.2.36: In Exercises3542, if possible, find and state the order of theresul...
 8.2.37: In Exercises3542, if possible, find and state the order of theresul...
 8.2.38: In Exercises3542, if possible, find and state the order of theresul...
 8.2.39: In Exercises3542, if possible, find and state the order of theresul...
 8.2.40: In Exercises3542, if possible, find and state the order of theresul...
 8.2.41: In Exercises3542, if possible, find and state the order of theresul...
 8.2.42: In Exercises3542, if possible, find and state the order of theresul...
 8.2.43: In Exercises 4346, use thematrix capabilities of a graphing utility...
 8.2.44: In Exercises 4346, use thematrix capabilities of a graphing utility...
 8.2.45: In Exercises 4346, use thematrix capabilities of a graphing utility...
 8.2.46: In Exercises 4346, use thematrix capabilities of a graphing utility...
 8.2.47: In Exercises 4752, ifpossible, find (a) (b) and (c)
 8.2.48: In Exercises 4752, ifpossible, find (a) (b) and (c)
 8.2.49: In Exercises 4752, ifpossible, find (a) (b) and (c)
 8.2.50: In Exercises 4752, ifpossible, find (a) (b) and (c)
 8.2.51: In Exercises 4752, ifpossible, find (a) (b) and (c)
 8.2.52: In Exercises 4752, ifpossible, find (a) (b) and (c)
 8.2.53: In Exercises 5356,evaluate the expression. Use the matrix capabilit...
 8.2.54: In Exercises 5356,evaluate the expression. Use the matrix capabilit...
 8.2.55: In Exercises 5356,evaluate the expression. Use the matrix capabilit...
 8.2.56: In Exercises 5356,evaluate the expression. Use the matrix capabilit...
 8.2.57: InExercises 5764, (a) write the system of linear equationsas a matr...
 8.2.58: Exercises 5764, (a) write the system of linear equationsas a matrix...
 8.2.59: InExercises 5764, (a) write the system of linear equationsas a matr...
 8.2.60: InExercises 5764, (a) write the system of linear equationsas a matr...
 8.2.61: InExercises 5764, (a) write the system of linear equationsas a matr...
 8.2.62: InExercises 5764, (a) write the system of linear equationsas a matr...
 8.2.63: InExercises 5764, (a) write the system of linear equationsas a matr...
 8.2.64: InExercises 5764, (a) write the system of linear equationsas a matr...
 8.2.65: Manufacturing A corporation has four factories,each of which manufa...
 8.2.66: Vacation Packages A vacation service hasidentified four resort hote...
 8.2.67: Agriculture A fruit grower raised two crops, applesand peaches. Eac...
 8.2.68: Inventory A company sells five models ofcomputers through three ret...
 8.2.69: Revenue An electronics manufacturer producesthree models of LCD tel...
 8.2.70: Labor/Wage Requirements A company thatmanufactures boats has the fo...
 8.2.71: Profit At a local dairy mart, the numbers of gallonsof skim milk, 2...
 8.2.72: Voting Preferences The matrixFromR D Iis called a stochastic matrix...
 8.2.73: Voting Preferences Use a graphing utility to findand for the matrix...
 8.2.74: The numbers of caloriesburned by individualsof different bodyweight...
 8.2.75: In Exercises 75 and 76, determinewhether the statement is true or f...
 8.2.76: In Exercises 75 and 76, determinewhether the statement is true or f...
 8.2.77: In Exercises 7780, use the matrices A [2 ].113] and B [1012A [2 ].
 8.2.78: In Exercises 7780, use the matrices A [2 ].113] and B [1012A [2 ].
 8.2.79: In Exercises 7780, use the matrices A [2 ].113] and B [1012A [2 ].
 8.2.80: In Exercises 7780, use the matrices A [2 ].113] and B [1012A [2 ].
 8.2.81: Think About It If and are real numbers suchthat and then However, i...
 8.2.82: Think About It If and are real numbers suchthat then or However,if ...
 8.2.83: Conjecture Let and be unequal diagonalmatrices of the same order. (...
 8.2.84: Matrices with Complex Entries Letand letand(a) Find and Identify an...
 8.2.85: Finding Matrices Find two matrices and suchthat AB BA.A BB2.
 8.2.86: HOW DO YOU SEE IT? A corporation hasthree factories, each of which ...
Solutions for Chapter 8.2: Operations with Matrices
Full solutions for Precalculus with Limits  3rd Edition
ISBN: 9781133947202
Solutions for Chapter 8.2: Operations with Matrices
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. Chapter 8.2: Operations with Matrices includes 86 full stepbystep solutions. Since 86 problems in chapter 8.2: Operations with Matrices have been answered, more than 33802 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3.

Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles

Anchor
See Mathematical induction.

Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point

equation of a quadratic function
ƒ(x) = ax 2 + bx + c(a ? 0)

Equivalent vectors
Vectors with the same magnitude and direction.

Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

Grapher or graphing utility
Graphing calculator or a computer with graphing software.

Imaginary axis
See Complex plane.

Inductive step
See Mathematical induction.

Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Placebo
In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

Real zeros
Zeros of a function that are real numbers.

Right circular cone
The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

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

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Terminal side of an angle
See Angle.

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.