The determinant of a 2 × 2 matrix is 50. If one eigenvalue

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The determinant of a 2 × 2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigen value is ________.

1. 7
2. 5
3. 10
4. 15

Correct Option: B

The product of eigen value of any matrix is equal to the determinant value of the matrix λ₁ = 10 , λ₂ = unknown
|A| = 50
λ₁ .λ₂ = 50
10(λ₂) = 50
∴ λ₂ = 5