# Worksheet: Adding and Subtracting Matrices

In this worksheet, we will practice adding and subtracting matrices.

**Q3: **

Suppose the sum exists. We also know that has 2 rows and has 3 columns. What can we say about matrix ?

- A is a matrix.
- B is a matrix.
- C is a matrix.
- D is a matrix.
- E is a matrix.

**Q4: **

Given that is the zero matrix of order , find the value of .

- A
- B
- C
- D

**Q7: **

Let be a matrix whose entries are all zero. If is any matrix, which of following is equivalent to ?

- A
- B
- C
- D
- E

**Q15: **

Given that is the zero matrix of order , find .

- A
- B
- C
- D
- E

**Q16: **

If the matrix and the matrix , then .

- A
- B
- C
- D

**Q17: **

A company produces televisions with 32-inch, 42-inch, and 48-inch screens. The first table gives the number of televisions of each screen size produced in factories A and B during January 2016. The second table gives the same information for February 2016. Express the total number of televisions of each screen size produced in the 2 months by each factory, A and B, in a matrix.

Screens produced during January 2016:

Factory | 32 inches | 42 inches | 48 inches |
---|---|---|---|

A | 820 | 770 | 500 |

B | 690 | 660 | 620 |

Screens produced during February 2016:

Factory | 32 inches | 42 inches | 48 inches |
---|---|---|---|

A | 560 | 550 | 830 |

B | 520 | 700 | 660 |

- A
- B
- C
- D

**Q18: **

If , then .

- A9
- B
- C3
- D

**Q19: **

Given that what are and ?

- A,
- B,
- C,
- D,

**Q20: **

Given that find the values of , , , , and .

- A, , , ,
- B, , , ,
- C, , , ,
- D, , , ,

**Q21: **

Given that where is the zero matrix of order , find the values of and .

- A,
- B,
- C,
- D,

**Q22: **

What is the value of for any matrix ?

- A
- B
- C
- D

**Q23: **

If is a matrix and is a matrix, can you add the matrices and ?

- ANo
- BYes

**Q24: **

If the matrix is added to a zero matrix of the same size, is the result equal to matrix ?

- AYes
- BNo