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MAT3700 Assignment 03 Answers Year 2024

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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

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