# Worksheet: Adding and Subtracting Matrices

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

Q1:

Find .

• A
• B
• C
• D

Q2:

Evaluate

• A
• B
• C
• D
• E

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

Q5:

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

• A
• B
• C
• D
• E

Q6:

Consider the matrix Suppose the sum of matrices and is Find the matrix .

• A
• B
• C
• D
• E

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

Q8:

Find .

• A
• B
• C
• D

Q9:

Find .

• A
• B
• C
• D

Q10:

Find .

• A
• B
• C
• D

Q11:

Find .

• A
• B
• C
• D

Q12:

Find .

• A
• B
• C
• D

Q13:

Evaluate

• A
• B
• C
• D
• E

Q14:

Find .

• 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:

Factory32 inches42 inches48 inches
A820770500
B690660620

Screens produced during February 2016:

Factory32 inches42 inches48 inches
A560550830
B520700660
• 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