-
For the matrix 
4 1 
the eigen values are 1 4
-
- 3 and – 3
- –3 and –5
- 3 and 5
- 5 and 0
Correct Option: C
| A = | | 4 | 1 | | ||
| 1 | 4 |
Now A – λI =0, where λ = eigen value
| ∴ | | 4-λ | 1 | | = 0 | ||
| 1 | 4-λ |
⇒ (4 – λ)² – 1 = 0
⇒ (4 – λ)² – (1)² = 0
⇒ (4 – λ – 1) (4 – λ + 1) = 0
∴ λ = 3, λ = 5
Also “Summation of Eigen values is equal to the sum of diagonal elements of the MATRIX”
