The smallest Eigen value of the matrix is
2025
The smallest Eigen value of the matrix
is
- A.
1
- B.
3
- C.
4
- D.
6
Attempted by 16 students.
Show answer & explanation
Correct answer: C
The eigenvalues are found by solving the characteristic equation det(A - λI) = 0.
Expanding the determinant along the first column gives (4 - λ)((6 - λ)(7 - λ) - 0) = 0.
This simplifies to (4 - λ)(6 - λ)(7 - λ) = 0, yielding eigenvalues λ = 4, 6, and 7.
The smallest eigenvalue is 4.