MAT3700
Assignment 03
Due 15 August 2025
, Student Name: MAT3700 Assignment 03
MAT3700 Assignment 03
Due Date:15 August 2025
Solutions
Question 1
Find the eigenvalues of
3 6
B= .
1 4
Compute the characteristic polynomial:
3−λ 6
det(B − λI) = = (3 − λ)(4 − λ) − 6 = λ2 − 7λ + 6.
1 4−λ
Solve:
λ2 − 7λ + 6 = 0 ⇒ (λ − 1)(λ − 6) = 0.
Eigenvalues: λ = 1, 6.
Page 1
Assignment 03
Due 15 August 2025
, Student Name: MAT3700 Assignment 03
MAT3700 Assignment 03
Due Date:15 August 2025
Solutions
Question 1
Find the eigenvalues of
3 6
B= .
1 4
Compute the characteristic polynomial:
3−λ 6
det(B − λI) = = (3 − λ)(4 − λ) − 6 = λ2 − 7λ + 6.
1 4−λ
Solve:
λ2 − 7λ + 6 = 0 ⇒ (λ − 1)(λ − 6) = 0.
Eigenvalues: λ = 1, 6.
Page 1
