PHY2601 Assignment 1 full solutions 2026

PHY26041/102/0/2026 iQ Level: 0793226427




UNISA

PHY2601 Assignment 1 full solutions 2026
This is a written assignment

Contribute 34% final mark

No Turnitin will be used to verify your work

, Chapter 1

Question 1: Matrix Product C = AB

2 4 −3 0 −3 7
𝐴 = (1 0 2 ) , 𝐵 = (3 −1 5)
7 4 −10 2 15 8



C = AB, where 𝐶𝑖𝑗 = ∑𝑘 𝐴𝑖𝑘 𝐵𝑘𝑗

Row 1:

• 𝐶11 = (2)(0) + (4)(3) + (−3)(2) = 0 + 12 − 6 = 𝟔

• 𝐶12 = (2)(−3) + (4)(−1) + (−3)(15) = −6 − 4 − 45 = −𝟓𝟓

• 𝐶13 = (2)(7) + (4)(5) + (−3)(8) = 14 + 20 − 24 = 𝟏𝟎

Row 2:

• 𝐶21 = (1)(0) + (0)(3) + (2)(2) = 0 + 0 + 4 = 𝟒

• 𝐶22 = (1)(−3) + (0)(−1) + (2)(15) = −3 + 0 + 30 = 𝟐𝟕

• 𝐶23 = (1)(7) + (0)(5) + (2)(8) = 7 + 0 + 16 = 𝟐𝟑

Row 3:

• 𝐶31 = (7)(0) + (4)(3) + (−10)(2) = 0 + 12 − 20 = −𝟖

• 𝐶32 = (7)(−3) + (4)(−1) + (−10)(15) = −21 − 4 − 150 = −𝟏𝟕𝟓

• 𝐶33 = (7)(7) + (4)(5) + (−10)(8) = 49 + 20 − 80 = −𝟏𝟏

6 −55 10
𝐶=( 4 27 23 )
−8 −175 −11




2