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