 8.2.1: In Exercises 14, fill in the blanks. Two matrices are ________ if a...
 8.2.2: In Exercises 14, fill in the blanks. When performing matrix operati...
 8.2.3: In Exercises 14, fill in the blanks. A matrix consisting entirely o...
 8.2.4: In Exercises 14, fill in the blanks. The matrix consisting of 1s on...
 8.2.5: In Exercises 5 and 6,match the matrix property with the correct for...
 8.2.6: In Exercises 5 and 6,match the matrix property with the correct for...
 8.2.7: In Exercises 512, if possible, find (a) (b) (c) and
 8.2.8: In Exercises 512, if possible, find (a) (b) (c) and
 8.2.9: In Exercises 512, if possible, find (a) (b) (c) and
 8.2.10: In Exercises 512, if possible, find (a) (b) (c) and
 8.2.11: In Exercises 512, if possible, find (a) (b) (c) and
 8.2.12: In Exercises 512, if possible, find (a) (b) (c) and
 8.2.13: In Exercises 1318, evaluate the expression
 8.2.14: In Exercises 1318, evaluate the expression
 8.2.15: In Exercises 1318, evaluate the expression
 8.2.16: In Exercises 1318, evaluate the expression
 8.2.17: In Exercises 1318, evaluate the expression
 8.2.18: In Exercises 1318, evaluate the expression
 8.2.19: In Exercises 1922,use the matrix capabilities of a graphing utility...
 8.2.20: In Exercises 1922,use the matrix capabilities of a graphing utility...
 8.2.21: In Exercises 1922,use the matrix capabilities of a graphing utility...
 8.2.22: In Exercises 1922,use the matrix capabilities of a graphing utility...
 8.2.23: In Exercises 2326, solve fo in the equation, given
 8.2.24: In Exercises 2326, solve fo in the equation, given
 8.2.25: In Exercises 2326, solve fo in the equation, given
 8.2.26: In Exercises 2326, solve fo in the equation, given
 8.2.27: In Exercises 2734, if possible, find and state the order of the res...
 8.2.28: In Exercises 2734, if possible, find and state the order of the res...
 8.2.29: In Exercises 2734, if possible, find and state the order of the res...
 8.2.30: In Exercises 2734, if possible, find and state the order of the res...
 8.2.31: In Exercises 2734, if possible, find and state the order of the res...
 8.2.32: In Exercises 2734, if possible, find and state the order of the res...
 8.2.33: In Exercises 2734, if possible, find and state the order of the res...
 8.2.34: In Exercises 2734, if possible, find and state the order of the res...
 8.2.35: In Exercises 3540, use the matrix capabilities of a graphing utilit...
 8.2.36: In Exercises 3540, use the matrix capabilities of a graphing utilit...
 8.2.37: In Exercises 3540, use the matrix capabilities of a graphing utilit...
 8.2.38: In Exercises 3540, use the matrix capabilities of a graphing utilit...
 8.2.39: In Exercises 3540, use the matrix capabilities of a graphing utilit...
 8.2.40: In Exercises 3540, use the matrix capabilities of a graphing utilit...
 8.2.41: In Exercises 4146, if possible, find (a) (b) and (
 8.2.42: In Exercises 4146, if possible, find (a) (b) and (
 8.2.43: In Exercises 4146, if possible, find (a) (b) and (
 8.2.44: In Exercises 4146, if possible, find (a) (b) and (
 8.2.45: In Exercises 4146, if possible, find (a) (b) and (
 8.2.46: In Exercises 4146, if possible, find (a) (b) and (
 8.2.47: In Exercises 4750, evaluate the expression.Use the matrix capabilit...
 8.2.48: In Exercises 4750, evaluate the expression.Use the matrix capabilit...
 8.2.49: In Exercises 4750, evaluate the expression.Use the matrix capabilit...
 8.2.50: In Exercises 4750, evaluate the expression.Use the matrix capabilit...
 8.2.51: In Exercises 5158, (a) write the system of linear equations as a ma...
 8.2.52: In Exercises 5158, (a) write the system of linear equations as a ma...
 8.2.53: In Exercises 5158, (a) write the system of linear equations as a ma...
 8.2.54: In Exercises 5158, (a) write the system of linear equations as a ma...
 8.2.55: In Exercises 5158, (a) write the system of linear equations as a ma...
 8.2.56: In Exercises 5158, (a) write the system of linear equations as a ma...
 8.2.57: In Exercises 5158, (a) write the system of linear equations as a ma...
 8.2.58: In Exercises 5158, (a) write the system of linear equations as a ma...
 8.2.59: Manufacturing A corporation has three factories, each of which manu...
 8.2.60: Manufacturing A corporation has four factories, each of which manuf...
 8.2.61: Agriculture A fruit grower raises two crops, apples and peaches. Ea...
 8.2.62: Revenue A manufacturer of electronics produces three models of port...
 8.2.63: Inventory A company sells five models of computers through three re...
 8.2.64: Voting Preferences The matrix From R D I To is called a stochastic ...
 8.2.65: Voting Preferences Use a graphing utility to find and for the matri...
 8.2.66: Labor/Wage Requirements A company that manufactures boats has the f...
 8.2.67: Profit At a local dairy mart, the numbers of gallons of skim milk, ...
 8.2.68: Profit At a convenience store, the numbers of gallons of 87octane,...
 8.2.69: Exercise The numbers of calories burned by individuals of different...
 8.2.70: Health Care The health care plans offered this year by a local manu...
 8.2.71: True or False? In Exercises 71 and 72, determine whether the statem...
 8.2.72: True or False? In Exercises 71 and 72, determine whether the statem...
 8.2.73: In Exercises 7380, let matrices and be of orders and respectively. ...
 8.2.74: In Exercises 7380, let matrices and be of orders and respectively. ...
 8.2.75: In Exercises 7380, let matrices and be of orders and respectively. ...
 8.2.76: In Exercises 7380, let matrices and be of orders and respectively. ...
 8.2.77: In Exercises 7380, let matrices and be of orders and respectively. ...
 8.2.78: In Exercises 7380, let matrices and be of orders and respectively. ...
 8.2.79: In Exercises 7380, let matrices and be of orders and respectively. ...
 8.2.80: In Exercises 7380, let matrices and be of orders and respectively. ...
 8.2.81: Think About It If and are real numbers such that and then However,i...
 8.2.82: Think About It If and are real numbers such that then or However, i...
 8.2.83: Exploration Let and be unequal diagonal matrices of the same order....
 8.2.84: Exploration Let and let and (a) Find and Identify any similarities ...
 8.2.85: In Exercises 8590, solve the equation
 8.2.86: In Exercises 8590, solve the equation
 8.2.87: In Exercises 8590, solve the equation
 8.2.88: In Exercises 8590, solve the equation
 8.2.89: In Exercises 8590, solve the equation
 8.2.90: In Exercises 8590, solve the equation
 8.2.91: In Exercises 9194, solve the system of linear equations both graphi...
 8.2.92: In Exercises 9194, solve the system of linear equations both graphi...
 8.2.93: In Exercises 9194, solve the system of linear equations both graphi...
 8.2.94: In Exercises 9194, solve the system of linear equations both graphi...
Solutions for Chapter 8.2: Operations with Matrices
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 8.2: Operations with Matrices
Get Full SolutionsSince 94 problems in chapter 8.2: Operations with Matrices have been answered, more than 39933 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Chapter 8.2: Operations with Matrices includes 94 full stepbystep solutions.

Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal

Arccotangent function
See Inverse cotangent function.

Axis of symmetry
See Line of symmetry.

Basic logistic function
The function ƒ(x) = 1 / 1 + ex

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Compound fraction
A fractional expression in which the numerator or denominator may contain fractions

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

Graphical model
A visible representation of a numerical or algebraic model.

Irrational zeros
Zeros of a function that are irrational numbers.

Leibniz notation
The notation dy/dx for the derivative of ƒ.

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

nth root
See Principal nth root

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Phase shift
See Sinusoid.

Proportional
See Power function

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

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.

Row operations
See Elementary row operations.

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.