Mathematics III (Engineering)
Assignment 03 Answers
Year 2024
DUE DATE
28 AUGUST
0027 65 934 4052
,
, QUESTION 1
3 6
𝐵=[ ]
1 4
3−𝜆 6
| |=0
1 4−𝜆
(3 − 𝜆)(4 − 𝜆) − (6)(1) = 0
𝜆2 − 7𝜆 − 6 = 0
(𝜆 − 1)(𝜆 − 6) = 0
𝜆 = 1 𝑜𝑟 𝜆 = 6
The eigenvalues are 𝜆1 = 1 and 𝜆2 = 6
Assignment 03 Answers
Year 2024
DUE DATE
28 AUGUST
0027 65 934 4052
,
, QUESTION 1
3 6
𝐵=[ ]
1 4
3−𝜆 6
| |=0
1 4−𝜆
(3 − 𝜆)(4 − 𝜆) − (6)(1) = 0
𝜆2 − 7𝜆 − 6 = 0
(𝜆 − 1)(𝜆 − 6) = 0
𝜆 = 1 𝑜𝑟 𝜆 = 6
The eigenvalues are 𝜆1 = 1 and 𝜆2 = 6