Question 1

Find

Accepted Answer

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

Question 2

Find all (a) minors and (b) cofactors of the matrix   Show your work.

Accepted Answer

The answer of Find all (a) minors and (b) cofactors...

Question 3

Find

Accepted Answer

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

Question 4

Solve the system of linear equations   using an inverse matrix.

Accepted Answer

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

Question 5

Use the matrix capabilities of a graphing utility to 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 6

Evaluate the expression.

Accepted Answer

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

Question 7

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

Question 8

Fill in the blank using elementary row operations to form a row-equivalent matrix.

Accepted Answer

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

Question 9

Write the augmented matrix for the system of linear equations.

Accepted Answer

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

Question 10

Use elementary row operations to write the matrix below in row echelon form.

Accepted Answer

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

Question 11

Determine whether the two systems of linear equations yield the same solutions.If so, find the solutions using matrices.

Accepted Answer

A)  x = -2, y = 5, z = 3 
B)  x = 2, y = -5, z = 3 
C)  x = -5, y = 3, z = -2 
D)  x = 5, y = 3, z = -2 
E)  The systems yield different solutions. 
A)  x = -2, y = 5, z = 3 
B)  x = 2, y = -5, z = 3 
C)  x = -5, y = 3, z = -2 
D)  x = 5, y = 3, z = -2 
E)  The systems yield different solutions.

Question 12

Find the determinant of the matrix

Accepted Answer

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

Question 13

Solve for X in the equation given.

Accepted Answer

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

Question 14

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

Accepted Answer

@#IMG-DLM& ; therefo

Question 15

Given   , use   to decode the following cryptogram:

Accepted Answer

A)  THE SUN ALSO RISES 
B)  A PASSAGE TO INDIA 
C)  THE MALTESE FALCON 
D)  GONE WITH THE WIND 
E)  A CLOCKWORK ORANGE 
A)  THE SUN ALSO RISES 
B)  A PASSAGE TO INDIA 
C)  THE MALTESE FALCON 
D)  GONE WITH THE WIND 
E)  A CLOCKWORK ORANGE

Question 16

Determine whether the matrix is in row-echelon form and/or in reduced row-echelon form.

Accepted Answer

A)  The matrix is in row-echelon form but not in reduced row-echelon form. 
B)  The matrix is in reduced row-echelon form. 
C)  The matrix is not in row-echelon or in reduced-row echelon form. 
D)  The matrix is not in row-echelon form but is in reduced row-echelon form. 
A)  The matrix is in row-echelon form but not in reduced row-echelon form. 
B)  The matrix is in reduced row-echelon form. 
C)  The matrix is not in row-echelon or in reduced-row echelon form. 
D)  The matrix is not in row-echelon form but is in reduced row-echelon form.

Question 17

Find the determinant of   by the method of expansion by cofactors.

Accepted Answer

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

Question 18

The following cryptogram was encoded with a 2 × 2 matrix.   The last word of the message is "_LIVES".What is the message?

Accepted Answer

A)  CATS HAVE NINE LIVES 
B)  SHE SAID ELVIS LIVES 
C)  ALL GAVE THEIR LIVES 
D)  SEATBELTS SAVE LIVES 
E)  NO LIES CHANGE LIVES 
A)  CATS HAVE NINE LIVES 
B)  SHE SAID ELVIS LIVES 
C)  ALL GAVE THEIR LIVES 
D)  SEATBELTS SAVE LIVES 
E)  NO LIES CHANGE LIVES

Question 19

Given   , use   to decode the following cryptogram:

Accepted Answer

A)  FOR ANNIE 
B)  TAMERLANE 
C)  AN ENIGMA 
D)  THE BELLS 
E)  THE RAVEN 
A)  FOR ANNIE 
B)  TAMERLANE 
C)  AN ENIGMA 
D)  THE BELLS 
E)  THE RAVEN

Question 20

Use the matrix capabilities of a graphing utility to find AB, if possible.

Accepted Answer

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

Find

Find all (a) minors and (b) cofactors of the matrix Show your work.

Find

Solve the system of linear equations using an inverse matrix.

Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists).

Evaluate the expression.

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

Fill in the blank using elementary row operations to form a row-equivalent matrix.

Write the augmented matrix for the system of linear equations.

Use elementary row operations to write the matrix below in row echelon form.

Determine whether the two systems of linear equations yield the same solutions.If so, find the solutions using matrices.

Find the determinant of the matrix

Solve for X in the equation given.

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

Given , use to decode the following cryptogram:

Determine whether the matrix is in row-echelon form and/or in reduced row-echelon form.

Find the determinant of by the method of expansion by cofactors.

The following cryptogram was encoded with a 2 × 2 matrix. The last word of the message is "_LIVES".What is the message?

Given , use to decode the following cryptogram:

Use the matrix capabilities of a graphing utility to find AB, if possible.

Fundamental Concepts of Algebra

Equations and Inequalities

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Polynomial and Rational Functions

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Systems of Equations and Inequalities

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Exam 6: Matrices and Determinants

Find

Find all (a) minors and (b) cofactors of the matrix Show your work.

Find

Solve the system of linear equations using an inverse matrix.

Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists).

Evaluate the expression.

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

Fill in the blank using elementary row operations to form a row-equivalent matrix.

Write the augmented matrix for the system of linear equations.

Use elementary row operations to write the matrix below in row echelon form.

Determine whether the two systems of linear equations yield the same solutions.If so, find the solutions using matrices.

Find the determinant of the matrix

Solve for X in the equation given.

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

Given , use to decode the following cryptogram:

Determine whether the matrix is in row-echelon form and/or in reduced row-echelon form.

Find the determinant of by the method of expansion by cofactors.

The following cryptogram was encoded with a 2 × 2 matrix. The last word of the message is "_LIVES".What is the message?

Given , use to decode the following cryptogram:

Use the matrix capabilities of a graphing utility to find AB, if possible.

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