 8.1.1: Fill in the blanks A rectangular array of real numbers than can be ...
 8.1.2: Fill in the blanks A matrix is ________ if the number of rows equal...
 8.1.3: Fill in the blanks For a square matrix, the entries are the _______...
 8.1.4: Fill in the blanks A matrix with only one row is called a ________ ...
 8.1.5: Fill in the blanks The matrix derived from a system of linear equat...
 8.1.6: Fill in the blanks The matrix derived from the coefficients of a sy...
 8.1.7: Fill in the blanks Two matrices are called ________ if one of the m...
 8.1.8: Fill in the blanks A matrix in rowechelon form is in ________ ____...
 8.1.9: Fill in the blanks The process of using row operations to write a m...
 8.1.10: In Exercises 712, write the augmented matrix for the system of line...
 8.1.11: In Exercises 712, write the augmented matrix for the system of line...
 8.1.12: In Exercises 712, write the augmented matrix for the system of line...
 8.1.13: In Exercises 1318, write the system of linear equations represented...
 8.1.14: In Exercises 1318, write the system of linear equations represented...
 8.1.15: In Exercises 1318, write the system of linear equations represented...
 8.1.16: In Exercises 1318, write the system of linear equations represented...
 8.1.17: In Exercises 1318, write the system of linear equations represented...
 8.1.18: In Exercises 1318, write the system of linear equations represented...
 8.1.19: In Exercises 1922, fill in the blank(s) using elementary row operat...
 8.1.20: In Exercises 1922, fill in the blank(s) using elementary row operat...
 8.1.21: In Exercises 1922, fill in the blank(s) using elementary row operat...
 8.1.22: In Exercises 1922, fill in the blank(s) using elementary row operat...
 8.1.23: In Exercises 2326, identify the elementary row operation( s) being ...
 8.1.24: In Exercises 2326, identify the elementary row operation( s) being ...
 8.1.25: In Exercises 2326, identify the elementary row operation( s) being ...
 8.1.26: In Exercises 2326, identify the elementary row operation( s) being ...
 8.1.27: Perform the sequence of row operations on the matrix. What did the ...
 8.1.28: Perform the sequence of row operations on the matrix. What did the ...
 8.1.29: In Exercises 2932, determine whether the matrix is in rowechelon f...
 8.1.30: In Exercises 2932, determine whether the matrix is in rowechelon f...
 8.1.31: In Exercises 2932, determine whether the matrix is in rowechelon f...
 8.1.32: In Exercises 2932, determine whether the matrix is in rowechelon f...
 8.1.33: In Exercises 3336, write the matrix in rowechelon form. (Remember ...
 8.1.34: In Exercises 3336, write the matrix in rowechelon form. (Remember ...
 8.1.35: In Exercises 3336, write the matrix in rowechelon form. (Remember ...
 8.1.36: In Exercises 3336, write the matrix in rowechelon form. (Remember ...
 8.1.37: In Exercises 3742,use the matrix capabilities of a graphing utility...
 8.1.38: In Exercises 3742,use the matrix capabilities of a graphing utility...
 8.1.39: In Exercises 3742,use the matrix capabilities of a graphing utility...
 8.1.40: In Exercises 3742,use the matrix capabilities of a graphing utility...
 8.1.41: In Exercises 3742,use the matrix capabilities of a graphing utility...
 8.1.42: In Exercises 3742,use the matrix capabilities of a graphing utility...
 8.1.43: In Exercises 4346, write the system of linear equations represented...
 8.1.44: In Exercises 4346, write the system of linear equations represented...
 8.1.45: In Exercises 4346, write the system of linear equations represented...
 8.1.46: In Exercises 4346, write the system of linear equations represented...
 8.1.47: In Exercises 4750, an augmented matrix that represents a system of ...
 8.1.48: In Exercises 4750, an augmented matrix that represents a system of ...
 8.1.49: In Exercises 4750, an augmented matrix that represents a system of ...
 8.1.50: In Exercises 4750, an augmented matrix that represents a system of ...
 8.1.51: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.52: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.53: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.54: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.55: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.56: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.57: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.58: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.59: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.60: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.61: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.62: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.63: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.64: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.65: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.66: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.67: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.68: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.69: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.70: In Exercises 5170, use matrices to solve the system of equations (i...
 8.1.71: In Exercises 7176,use the matrix capabilities of a graphing utility...
 8.1.72: In Exercises 7176,use the matrix capabilities of a graphing utility...
 8.1.73: In Exercises 7176,use the matrix capabilities of a graphing utility...
 8.1.74: In Exercises 7176,use the matrix capabilities of a graphing utility...
 8.1.75: In Exercises 7176,use the matrix capabilities of a graphing utility...
 8.1.76: In Exercises 7176,use the matrix capabilities of a graphing utility...
 8.1.77: In Exercises 7780, determine whether the two systems of linear equa...
 8.1.78: In Exercises 7780, determine whether the two systems of linear equa...
 8.1.79: In Exercises 7780, determine whether the two systems of linear equa...
 8.1.80: In Exercises 7780, determine whether the two systems of linear equa...
 8.1.81: Use the system to write two different matrices in rowechelon form ...
 8.1.82: Electrical Network The currents in an electrical network are given ...
 8.1.83: Partial Fractions Use a system of equations to write the partial fr...
 8.1.84: Partial Fractions Use a system of equations to write the partial fr...
 8.1.85: Finance A small shoe corporation borrowed $1,500,000 to expand its ...
 8.1.86: Finance A small software corporation borrowed $500,000 to expand it...
 8.1.87: In Exercises 87 and 88, use a system of equations to find the speci...
 8.1.88: In Exercises 87 and 88, use a system of equations to find the speci...
 8.1.89: Mathematical Modeling A videotape of the path of a ball thrown by a...
 8.1.90: Data Analysis: Snowboarders The table shows the numbers of people (...
 8.1.91: Water flowing through a network of pipes (in thousands of cubic met...
 8.1.92: The flow of traffic (in vehicles per hour) through a network of str...
 8.1.93: True or False? In Exercises 9395, determine whether the statement i...
 8.1.94: True or False? In Exercises 9395, determine whether the statement i...
 8.1.95: True or False? In Exercises 9395, determine whether the statement i...
 8.1.96: Think About It The augmented matrix represents a system of linear e...
 8.1.97: Think About It (a) Describe the rowechelon form of an augmented ma...
 8.1.98: Describe the three elementary row operations that can be performed ...
 8.1.99: What is the relationship between the three elementary row operation...
 8.1.100: Writing In your own words, describe the difference between a matrix...
 8.1.101: In Exercises 101106, sketch the graph of the function. Do not use a...
 8.1.102: In Exercises 101106, sketch the graph of the function. Do not use a...
 8.1.103: In Exercises 101106, sketch the graph of the function. Do not use a...
 8.1.104: In Exercises 101106, sketch the graph of the function. Do not use a...
 8.1.105: In Exercises 101106, sketch the graph of the function. Do not use a...
 8.1.106: In Exercises 101106, sketch the graph of the function. Do not use a...
Solutions for Chapter 8.1: Matrices and Systems of Equations
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 8.1: Matrices and Systems of Equations
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. Since 106 problems in chapter 8.1: Matrices and Systems of Equations have been answered, more than 35882 students have viewed full stepbystep solutions from this chapter. Chapter 8.1: Matrices and Systems of Equations includes 106 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 7.

Binomial
A polynomial with exactly two terms

Bounded interval
An interval that has finite length (does not extend to ? or ?)

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Convenience sample
A sample that sacrifices randomness for convenience

Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

Focal length of a parabola
The directed distance from the vertex to the focus.

Identity properties
a + 0 = a, a ? 1 = a

Inverse sine function
The function y = sin1 x

Logistic regression
A procedure for fitting a logistic curve to a set of data

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Nappe
See Right circular cone.

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Onetoone rule of exponents
x = y if and only if bx = by.

Probability of an event in a finite sample space of equally likely outcomes
The number of outcomes in the event divided by the number of outcomes in the sample space.

Scalar
A real number.

Series
A finite or infinite sum of terms.

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

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>