Question 1

Evaluate the determinant.

Accepted Answer

A)  16 
B)  -14 
C)  8 
D)  2 
E)  -2 
A)  16 
B)  -14 
C)  8 
D)  2 
E)  -2

Question 2

Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .

Accepted Answer

A)  -0.98 
B)  -0.343 
C)  -1.715 
D)  1.029 
E)  -0.686 
A)  -0.98 
B)  -0.343 
C)  -1.715 
D)  1.029 
E)  -0.686

Question 3

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

Accepted Answer

A)  -945 
B)  -702 
C)  594 
D)  378 
E)  1,350 
A)  -945 
B)  -702 
C)  594 
D)  378 
E)  1,350

Question 4

Find the adjoint of the matrix   .

Accepted Answer

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

Question 5

Find the determinant of the matrix   .

Accepted Answer

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

Question 6

Given   and   , find   .

Accepted Answer

A)  375 
B)  -250 
C)  300 
D)  399 
E)  -210 
A)  375 
B)  -250 
C)  300 
D)  399 
E)  -210

Question 7

Use Cramer's Rule to solve the system of equations   .

Accepted Answer

A) x = 5, y = 8 
B) x = 5, y = 9 
C)  x = 4, y = 8 
D)  x = 7, y = 7 
E)  x = 9, y = 5 
A) x = 5, y = 8 
B) x = 5, y = 9 
C)  x = 4, y = 8 
D)  x = 7, y = 7 
E)  x = 9, y = 5

Evaluate the determinant.

Use the matrix capabilities of a graphing utility to find the determinant of the matrix .

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

Find the adjoint of the matrix .

Find the determinant of the matrix .

Given and , find .

Use Cramer's Rule to solve the system of equations .

Linear Equations

Matrices

Vector Spaces

Inner Product Spaces

Linear Transformations

Eigenvalues Eigenvectors

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Exam 3: Determinants

Evaluate the determinant.

Use the matrix capabilities of a graphing utility to find the determinant of the matrix .

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

Find the adjoint of the matrix .

Find the determinant of the matrix .

Given and , find .

Use Cramer's Rule to solve the system of equations .

Linear Equations

Matrices

Vector Spaces

Inner Product Spaces

Linear Transformations

Eigenvalues Eigenvectors

Filters