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  • Solved Previous Paper Civil Engg. (GATE) 2008
  • The eigen values of the matrix $[P] = \begin{bmatrix} \ 4...
Multiple choice

The eigen values of the matrix $[P] = \begin{bmatrix} \ 4 & 5 \ \ 2 & -5 \ \end{bmatrix}$are

    • 7 and 8
    • 6 and 5
  1. 3 and 4

  2. 1 and 2

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

Eigenvalues are found by solving det(A - lambda*I) = 0. Det = (4 - lambda)(-5 - lambda) - 10 = lambda^2 + lambda - 20 - 10 = lambda^2 + lambda - 30 = 0. Factoring gives (lambda + 6)(lambda - 5) = 0, so lambda = -6 and 5.

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