Multiple choice

The eigenvalues of the matrix$\begin{bmatrix} \ 4 & -2 \ \ -2 & 1 \ \end{bmatrix}$

  1. are 1 and 4

  2. are - 1 and 2

  3. are 0 and 5

  4. cannot be determined

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For matrix [[4, -2], [-2, 1]], the characteristic equation is det(A - lambda*I) = (4-lambda)(1-lambda) - 4 = lambda^2 - 5*lambda + 4 - 4 = lambda^2 - 5*lambda = 0. The eigenvalues are 0 and 5.