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The lowest eigenvalue of the 2 × 2 matrix
4 2 is _______.
1 3

1. 2
2. 3
3. 4
4. 5

Correct Option: A

		4 - λ		2		= 0
		1		3 - λ

(4 – λ) (3 – λ) –2 = 0
λ² –7 λ+ 12 – 2 = 0
λ² –7 λ+ 10 = 0
λ² –5 λ– 2 λ+ 10 = 0
λ(λ – 5) – 2 (λ – 5) = 0
λ₁₂ = 2,5
The lowest eigenvalve of the matrix is 2.

		4		2		is _______.
		1		3