Algebra 2 Matrices Review Multiple Choice



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Algebra 2 Matrices Review
Multiple Choice

Identify the choice that best completes the statement or answers the question.
____ 1. Find .



a.



c.



b.



d.





Evaluate the determinant of the matrix.
____ 2.

a.

30

b.

–50

c.

–30

d.

–40

____ 3. A matrix contains 48 elements. Which of the following cannot equal the number of rows of the matrix?



a.

18

b.

16

c.

8

d.

24



Use Cramer’s Rule to solve the system.
____ 4.

a.



b.

no solution

c.



d.





Identify the given matrix element.
____ 5.



a.

9

b.

–7

c.

2

d.

–6

____ 6.





a.

–1

b.

2

c.

0

d.

–5



Solve the system.
____ 7.

a.



b.



c.



d.

no solution

____ 8.



a.

(1, 1, 0)

c.

(1, –1, –1)

b.

(6, 5, 0)

d.

(–1, 1, 0)



Find the product.
____ 9.

a.



c.



b.



d.



____ 10.



a.



c.



b.

[2]

d.



____ 11.



a.



c.



b.



d.





Use matrices A, B, and C. Find the sum or difference if you can.


____ 12. C + A

a.



c.



b.



d.

not possible

____ 13.



a.

not possible

c.



b.



d.



____ 14. State the dimensions of the matrix. Identify the indicated element.





a.

3 25

c.

2 3–7

b.

2 31

d.

3 2, –7



Solve the matrix equation.
____ 15.

a.



c.



b.



d.



____ 16.



a.



c.



b.



d.



____ 17.



a.



c.



b.



d.





Find the values of the variables.
____ 18.

a.

f = –1, k = 7, w = 9 or –9

c.

f = –1, k = –7, w = 81 or –81

b.

f = –1, k = –7, w = 9

d.

f = –1, k = –7, w = 9 or –9

____ 19.



a.

t = 1, y = –1

c.

t = –1, y = 2

b.

t = –11, y = 1

d.

t = –1, y = 1



Evaluate the determinant.
____ 20.

a.

–120

b.

20

c.

120

d.

–20



Find the sum or difference.
____ 21.

a.



c.



b.



d.



____ 22.



a.



c.



b.



d.



____ 23. Suppose A and B are 2  1 matrices. Which of the following are the dimensions of the matrix A + B?



a.

2  1

b.

3  1

c.

2  2

d.

3  3

Algebra 2 Matrices Review

Answer Section
MULTIPLE CHOICE
1. ANS: D PTS: 1 DIF: L2 REF: 4-3 Matrix Multiplication

OBJ: 4-3.1 Multiplying a Matrix by a Scalar STA: MS AII 7d

TOP: 4-3 Example 2 KEY: scalar multiplication | matrix subtraction | matrix
2. ANS: C PTS: 1 DIF: L2

REF: 4-6 3 x 3 Matrices, Determinants, and Inverses

OBJ: 4-6.1 Evaluating Determinants of 3 x 3 Matrices STA: MS AII 7b

TOP: 4-6 Example 1 KEY: determinant | 3 x 3 matrix | matrix


3. ANS: A PTS: 1 DIF: L4 REF: 4-1 Organizing Data Into Matrices

OBJ: 4-1.1 Identifying Matrices STA: MS AII 7a

KEY: matrix | dimensions of a matrix | matrix element
4. ANS: D PTS: 1 DIF: L3

REF: 4-8 Augmented Matrices and Systems

OBJ: 4-8.1 Solving Systems Using Cramer's Rule STA: MS AII 2a

TOP: 4-8 Example 1 KEY: Cramer's Rule | systems and matrices | 2 x 2 matrix


5. ANS: D PTS: 1 DIF: L2 REF: 4-1 Organizing Data Into Matrices

OBJ: 4-1.1 Identifying Matrices STA: MS AII 7a TOP: 4-1 Example 2

KEY: matrix | matrix element
6. ANS: D PTS: 1 DIF: L2 REF: 4-1 Organizing Data Into Matrices

OBJ: 4-1.1 Identifying Matrices STA: MS AII 7a TOP: 4-1 Example 2

KEY: matrix | matrix element
7. ANS: C PTS: 1 DIF: L2 REF: 4-7 Inverse Matrices and Systems

OBJ: 4-7.1 Solving Systems of Equations Using Inverse Matrices

STA: MS AII 2a TOP: 4-7 Example 2

KEY: systems and matrices | 2 x 2 matrix | matrix equation


8. ANS: A PTS: 1 DIF: L2

REF: 4-8 Augmented Matrices and Systems

OBJ: 4-8.1 Solving Systems Using Cramer's Rule STA: MS AII 2a

TOP: 4-8 Example 2 KEY: systems and matrices | 3 x 3 matrix | Cramer's Rule


9. ANS: D PTS: 1 DIF: L2 REF: 4-3 Matrix Multiplication

OBJ: 4-3.2 Multiplying Matrices STA: MS AII 7d TOP: 4-3 Example 4

KEY: matrix multiplication | matrix
10. ANS: B PTS: 1 DIF: L3 REF: 4-3 Matrix Multiplication

OBJ: 4-3.2 Multiplying Matrices STA: MS AII 7d TOP: 4-3 Example 4

KEY: matrix multiplication | matrix
11. ANS: B PTS: 1 DIF: L2 REF: 4-3 Matrix Multiplication

OBJ: 4-3.1 Multiplying a Matrix by a Scalar STA: MS AII 7d

TOP: 4-3 Example 1 KEY: scalar | scalar multiplication | matrix
12. ANS: D PTS: 1 DIF: L3

REF: 4-2 Adding and Subtracting Matrices

OBJ: 4-2.1 Adding and Subtracting Matrices STA: MS AII 7c | MS AII 7d

TOP: 4-2 Example 1

KEY: matrix addition | dimensions of a matrix | matrix subtraction
13. ANS: B PTS: 1 DIF: L2

REF: 4-2 Adding and Subtracting Matrices

OBJ: 4-2.1 Adding and Subtracting Matrices STA: MS AII 7c | MS AII 7d

TOP: 4-2 Example 1

KEY: matrix subtraction | dimensions of a matrix | matrix addition
14. ANS: D PTS: 1 DIF: L3 REF: 4-1 Organizing Data Into Matrices

OBJ: 4-1.1 Identifying Matrices STA: MS AII 7a TOP: 4-1 Example 1

KEY: matrix | dimensions of a matrix | matrix element
15. ANS: B PTS: 1 DIF: L2

REF: 4-5 2 x 2 Matrices, Determinants, and Inverses

OBJ: 4-5.2 Using Inverse Matrices to Solve Equations STA: MS AII 7b

TOP: 4-5 Example 4

KEY: inverse matrices | matrix | multiplicative inverse of a matrix
16. ANS: D PTS: 1 DIF: L2 REF: 4-3 Matrix Multiplication

OBJ: 4-3.1 Multiplying a Matrix by a Scalar STA: MS AII 7d

TOP: 4-3 Example 3 KEY: scalar | scalar multiplication | matrix | matrix equation
17. ANS: D PTS: 1 DIF: L2

REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.2 Solving Matrix Equations

STA: MS AII 7c | MS AII 7d TOP: 4-2 Example 4

KEY: matrix equation


18. ANS: D PTS: 1 DIF: L4

REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.2 Solving Matrix Equations

STA: MS AII 7c | MS AII 7d TOP: 4-2 Example 6

KEY: matrix | matrix equation | matrix element


19. ANS: D PTS: 1 DIF: L2

REF: 4-2 Adding and Subtracting Matrices OBJ: 4-2.2 Solving Matrix Equations

STA: MS AII 7c | MS AII 7d TOP: 4-2 Example 6

KEY: matrix | matrix equation | matrix element


20. ANS: B PTS: 1 DIF: L3

REF: 4-5 2 x 2 Matrices, Determinants, and Inverses

OBJ: 4-5.1 Evaluating Determinants of 2 x 2 Matrices STA: MS AII 7b

KEY: determinant | 2 x 2 matrix | matrix


21. ANS: D PTS: 1 DIF: L2

REF: 4-2 Adding and Subtracting Matrices

OBJ: 4-2.1 Adding and Subtracting Matrices STA: MS AII 7c | MS AII 7d

TOP: 4-2 Example 2 KEY: matrix addition | matrix


22. ANS: B PTS: 1 DIF: L2

REF: 4-2 Adding and Subtracting Matrices

OBJ: 4-2.1 Adding and Subtracting Matrices STA: MS AII 7c | MS AII 7d

TOP: 4-2 Example 3 KEY: matrix subtraction | matrix


23. ANS: A PTS: 1 DIF: L3

REF: 4-2 Adding and Subtracting Matrices



OBJ: 4-2.1 Adding and Subtracting Matrices STA: MS AII 7c | MS AII 7d

KEY: matrix addition | matrix

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