Matrices Practice Answers

1 Worksheet 1 – Matrices 1. Answer (a) 𝑷 + 𝑹 = %1 2 3 4* + %2 4 6 8* = %3 6 9 12* (b) 𝑹 − 𝑸 = %2 4 6 8* − %2 2 6 4* = %0 2 0 4* (c) 2𝑹 − 𝑸 = 2 %2 4 6 8* − %1 2 3 4* = % 4 8 12 16* − %1 2 3 4* = %3 6 6 12* 2. Answer 𝑷 − 𝑸 = 𝑹 %10 5 3 −2* − %𝑥 1 0 −1* = %15 𝑦 3 −1* %10 − 𝑥 4 3 −1* = %15 𝑦 3 −1* 10 − 𝑥 = 15 −𝑥 = 5 𝑥 = −5 𝑦 = 4 3. Answer

2 4. Answer 5. Answer

3 6. Answer 7. Answer

4 8. Answer 9. Answer

5 10.

6 Worksheet 2 – Matrices 1. Answer

7 2. Answer 3. Answer 4. Answer (a) Answer (b) Answer (c) 37 and 46 represents the total cups of coffee sold at café A and B respectively. (d) Answer

8 (e) Answer 5. Answer (a) P = 7 %57 38 23 42 29 13 18 16* = %399 266 161 294 203 91 126 112* (b) 𝐍 = 7 0.50 0.75 1.20 1.20 9 (c) T = %399 266 161 294 203 91 126 112* 7 0.50 0.75 1.20 1.20 9 = %743.40 542.85* (d) 743.40 represents the total cost of making regular pratas in 7 days and 542.85 represents the total cost of making upsized pratas in 7 days.

9 6. Answer

10 (e)(ii)