Mathematics III (Engineering)
Assessment 3 Answers
Year 2026
0027 68 628 1800
,
, QUESTION 1
2 4
𝐵=[ ]
1 5
2−𝜆 4
| |=0
1 5−𝜆
(2 − 𝜆)(5 − 𝜆) − (4)(1) = 0
10 − 5𝜆 − 2𝜆 + 𝜆2 − 4 = 0
𝜆2 − 7𝜆 + 6 = 0
(𝜆 − 1)(𝜆 − 6) = 0
𝜆 = 1 𝑜𝑟 𝜆 = 6
𝑻𝒉𝒆 𝒆𝒊𝒈𝒆𝒏𝒗𝒂𝒍𝒖𝒆𝒔 𝒐𝒇 𝑩 𝒂𝒓𝒆 𝝀𝟏 = 𝟏 𝒂𝒏𝒅 𝝀𝟐 = 𝟔
Assessment 3 Answers
Year 2026
0027 68 628 1800
,
, QUESTION 1
2 4
𝐵=[ ]
1 5
2−𝜆 4
| |=0
1 5−𝜆
(2 − 𝜆)(5 − 𝜆) − (4)(1) = 0
10 − 5𝜆 − 2𝜆 + 𝜆2 − 4 = 0
𝜆2 − 7𝜆 + 6 = 0
(𝜆 − 1)(𝜆 − 6) = 0
𝜆 = 1 𝑜𝑟 𝜆 = 6
𝑻𝒉𝒆 𝒆𝒊𝒈𝒆𝒏𝒗𝒂𝒍𝒖𝒆𝒔 𝒐𝒇 𝑩 𝒂𝒓𝒆 𝝀𝟏 = 𝟏 𝒂𝒏𝒅 𝝀𝟐 = 𝟔
