Question 1: Evaluate:

i)

ii)

iii)

iv)

Question 2: Find if

i)

ii)

Answer:

i)

Therefore

ii)

Therefore

Question 3: Given  , , , Find:

i)  

ii)  

Answer:

i)  

ii)  

Question 4: If  , Find

Answer:

Question 5: Given ,  , Find

i)

ii) Matrix such that

Answer:

i)

ii) 

Question 6: If , Find the value of .

Answer: 

Therefore

Question 7: Given  and is the transpose matrix. Find:

i)

ii)

iii)

iv)

Answer:

If 

Then 

i)

ii)

iii)

iv)

Question 8: Given  and . Solve for

i) 

ii) 

iii) 

Answer:

i)    

ii)    

iii)  

Question 9: If   and  , show that

Answer: 

Hence proved.

Question 10: If is the unit matrix of order , find the matrix such that

i)

ii)

Answer:

Given is a unit matrix of order , we have

i)  

ii)

Question 11. If , find the matrix

Answer:

Therefore