Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Consider the matrix shown below: 
Find the determinant of the matrix [ A]. a. | 23 | c. | 11 | b. | 7 | d. | The determinant cannot be found for a matrix
with these dimensions. |
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2.
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Consider the matrix shown below: 
Find the determinant of the matrix [ B]. a. | 4ab | c. | 8ab | b. | 6ab | d. | The determinant cannot be found for a matrix
with these dimensions. |
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3.
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Consider the matrix shown below: 
Given the determinant of the matrix [ M] is -5, determine the value of
z. a. | z = -2 | c. | z = 2 | b. | z = 0 | d. | z = 4 |
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4.
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Consider the matrix shown below: 
Which of the below shows the correct way to use the LATTICE METHOD to find the
determinant of matrix [ A]?
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5.
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Consider the parallelogram defined by the vectors m: < 3, 5> and n: < 4, 2>: Determine the area of the parallelogram shaded in gray by using the
determinant of a matrix comprised of the provided vectors. a. | Area = 7 square units | c. | Area = 15 square
units | b. | Area = 14 square units | d. | Area = 17 square
units |
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6.
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Consider the matrix shown below: 
Find the Inverse of the matrix A (i.e. Find A-1). a. | 
| c. |  | b. |  | d. | Matrix A does not have an
inverse. |
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7.
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Consider the matrix shown below: 
Find the Inverse of the matrix C (i.e. Find C-1). a. | 
| c. |  | b. |  | d. | Matrix C does not have an
inverse. |
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8.
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Consider the matrix shown below:  and
Matrix P has a determinant of 2. Find the Inverse of the matrix
P (i.e. Find P -1). a. | 
| c. |  | b. |  | d. | Matrix A does not have an
inverse. |
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9.
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Consider the matrix shown below: 
What is the value of  ?
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10.
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Given that matrix [ A] and matrix [ B] are
inverses, what is the value of the following:  |
Completion
Complete each
statement.
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11.
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Consider the matrix shown below: 
Find the determinant of the matrix [ D]. (In the blank
list only the number that represents the determinant.)
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12.
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Consider the matrix shown below: 
The following is partial inverse of the matrix P.  Using your calculator determine the complete inverse of matrix P
determine the value of ‘ a’. (In the blank list only the number
that represents the number ‘a’.)
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