Question 1

Use a determinant to find y such that   are collinear.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

If possible, find A - B.

Accepted Answer

A)    
B)    
C)    
D)    
E)  not possible 
A)    
B)    
C)    
D)    
E)  not possible

Question 3

Find

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

Write the system of linear equations as a matrix equation   and then use Gauss-Jordan elimination on the augmented matrix   to solve for the the matrix

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Find the inverse of the matrix

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

Find the inverse of the matrix

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

Identify the elementary row operation being performed to obtain the new row-equivalent matrix. Original Matrix New Row-Equivalent Matrix

Accepted Answer

A)  Add 4 times R1 to R2. 
B)  Add -4 times R2 to R1. 
C)  Add -4 times R1 to R2. 
D)  Add 4 times R1 to R1. 
E)  Add 4 times R2 to R1. 
A)  Add 4 times R1 to R2. 
B)  Add -4 times R2 to R1. 
C)  Add -4 times R1 to R2. 
D)  Add 4 times R1 to R1. 
E)  Add 4 times R2 to R1.

Question 8

Determine the order of the matrix below.

Accepted Answer

A)  6 
B)    
C)    
D)  5 
E)    
A)  6 
B)    
C)    
D)  5 
E)

Question 9

If possible, find AB.

Accepted Answer

A)    
B)    
C)    
D)    
E)  not possible 
A)    
B)    
C)    
D)    
E)  not possible

Question 10

Find x and y.

Accepted Answer

A)  x = -3, y = 5 
B)  x = 8, y = -1 
C)  x = -5, y = 3 
D)  x = 3, y = -5 
E)  x = 3, y = 3 
A)  x = -3, y = 5 
B)  x = 8, y = -1 
C)  x = -5, y = 3 
D)  x = 3, y = -5 
E)  x = 3, y = 3

Question 11

Find the determinant of the matrix

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Determine whether the matrix is in row-echelon form.If it is, determine if it is also in reduced row-echelon form.

Accepted Answer

A)  row-echelon form 
B)  row-echelon form and reduced row-echelon form 
C)  neither 
A)  row-echelon form 
B)  row-echelon form and reduced row-echelon form 
C)  neither

Question 13

Solve for X in the equation given.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Find the inverse of the matrix   (if it exists).

Accepted Answer

A)    
B)    
C)    
D)    
E)  does not exist 
A)    
B)    
C)    
D)    
E)  does not exist

Question 15

A fruit grower raises apples and peaches, which are shipped to three different outlets.The number of units of each fruit that is shipped to each outlet is shown in the matrix     where the first row contains the data for the number of apples shipped, the second row contains the data for the number of peaches shipped, and the columns correspond to outlets X, Y, and Z respectively.The profit per unit of apples is $4.50 and the profit per unit of peaches is $5.00.Organize the profits per unit in a matrix     Compute   to find the profits from both crops at outlet

Accepted Answer

A)  $1075.00 
B)  $587.50 
C)  $500.00 
D)  $1050.00 
E)  $1575.00 
A)  $1075.00 
B)  $587.50 
C)  $500.00 
D)  $1050.00 
E)  $1575.00

Question 16

Use a determinant to determine whether the points   are collinear.Show all work.

Accepted Answer

@#IMG-DLM& ; therefo

Question 17

You invest in AAA-rated bonds, A-rated bonds, and B-rated bonds.Your average yield is 6% on AAA bonds, 9% on A bonds, and 9% on B bonds.You invest twice as much in B bonds as in A bonds.The desired system of linear equations (where     and   represent the amounts invested in AAA, A, and B bonds, respectively) is as follows.   Use the inverse of the coefficient matrix of this system to find the amount invested in A bonds for the given a total investment of $45,000 and annual return of $3780.

Accepted Answer

A)  $12,000 
B)  $24,000 
C)  $10,000 
D)  $1000 
E)  $6000 
A)  $12,000 
B)  $24,000 
C)  $10,000 
D)  $1000 
E)  $6000

Question 18

Find the inverse of the matrix below, if it exists.

Accepted Answer

A)    
B)    
C)    
D)    
E)  The inverse of the matrix does not exist. 
A)    
B)    
C)    
D)    
E)  The inverse of the matrix does not exist.

Question 19

Write a cryptogram for the message "MERRY CHRISTMAS" using the matrix   Show all your work.

Accepted Answer

The answer of Write a cryptogram for the message "MERRY...

Question 20

Solve the system of equations below by the Gaussian elimination method:

Accepted Answer

A)    
B)    
C)    
D)    
E)  no solution 
A)    
B)    
C)    
D)    
E)  no solution

Use a determinant to find y such that are collinear.

If possible, find A - B.

Find

Write the system of linear equations as a matrix equation and then use Gauss-Jordan elimination on the augmented matrix to solve for the the matrix

Find the inverse of the matrix

Find the inverse of the matrix

Identify the elementary row operation being performed to obtain the new row-equivalent matrix. Original Matrix New Row-Equivalent Matrix

Determine the order of the matrix below.

If possible, find AB.

Find x and y.

Find the determinant of the matrix

Determine whether the matrix is in row-echelon form.If it is, determine if it is also in reduced row-echelon form.

Solve for X in the equation given.

Find the inverse of the matrix (if it exists).

Use a determinant to determine whether the points are collinear.Show all work.

Find the inverse of the matrix below, if it exists.

Write a cryptogram for the message "MERRY CHRISTMAS" using the matrix Show all your work.

Solve the system of equations below by the Gaussian elimination method:

Fundamental Concepts of Algebra

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Exam 6: Matrices and Determinants

Use a determinant to find y such that are collinear.

If possible, find A - B.

Find

Write the system of linear equations as a matrix equation and then use Gauss-Jordan elimination on the augmented matrix to solve for the the matrix

Find the inverse of the matrix

Find the inverse of the matrix

Identify the elementary row operation being performed to obtain the new row-equivalent matrix. Original Matrix New Row-Equivalent Matrix

Determine the order of the matrix below.

If possible, find AB.

Find x and y.

Find the determinant of the matrix

Determine whether the matrix is in row-echelon form.If it is, determine if it is also in reduced row-echelon form.

Solve for X in the equation given.

Find the inverse of the matrix (if it exists).

Use a determinant to determine whether the points are collinear.Show all work.

Find the inverse of the matrix below, if it exists.

Write a cryptogram for the message "MERRY CHRISTMAS" using the matrix Show all your work.

Solve the system of equations below by the Gaussian elimination method:

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Sequences, Series, and Probability

Filters