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Assignment 39 - Matrices

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22 views2 pages

Assignment 39 - Matrices

Uploaded by

Sariah Layne
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Assignment # 38

Vectors and Matrices

1. State the order of the following matrices:


a. 𝐴 = (2 9) (1 mark)
1
b. 𝐵 = ( ) (1 mark)
3
1 0 5
c. 𝐶 = ( ) (1 mark)
7 9 3
4 −5
d. 𝐷 = (0 1 ) (1 mark)
6 0

5 −3 −1 9
2. Find ( )+ ( ) (2 marks)
3 0 4 −7

6 2 −5 0
3. Find ( )− ( ) (2 marks)
−1 0 3 −11
0 −1
4. Find 6 ( ) (2 marks)
3 5
1 9 −12
5. Find 3 ( ) (2 marks)
−30 3

𝑎+6 24
6. Given ( ) = ( ), what are the values of 𝑎 and 𝑏? (2 marks)
𝑏 −7
−𝑎 13
7. Given ( ) = ( ), what are the values of 𝑎 and 𝑏? (2 marks)
4𝑏 − 1 −9

−3𝑎 7 18 7
8. Given ( )=( ), what are the values of 𝑎 and 𝑏? (2 marks)
−2 2𝑏 −2 16

1 −3
9. Given 𝑃 = ( ), find det(𝑃). (2 marks)
−5 4

0 3
10. Given 𝐴 = ( ), find 𝑎𝑑𝑗 (𝐴). (2 marks)
−12 6

4 −11
11. Find the inverse of A given that 𝐴 = ( ) (3 marks)
−7 1
12. Given

𝑝 = (−6
9
) 𝑞 = (−4
−2
) 1
𝑟 = (−6 )

Find,

(a) 𝑝 + 𝑞 (2 marks)

(b) 𝑞 + 𝑟 (2 marks)

(c) 2𝑝 + 𝑟 (2 marks)

(d) 4𝑟 − 𝑝 (2 marks)

(e) 𝑞 − 2𝑟 (2 marks)

(f) −𝑞 (2 marks)

(g) |𝑞⃗| (2 marks)

(h) |𝑟⃗| (2 marks)

⃗⃗⃗⃗⃗⃗ .
13. Using the Triangle Law, find 𝐴𝐵 (2 marks)

𝑨 (2, 5)

𝑩 (5, 1)

TOTAL: 43 Marks

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