Eigenvalue Calculator for a 2×2 Matrix

Given the following matrix A:
A =
  a b  
c d
The eigenvalues of matrix A, labeled λ1 and λ2, can be found using the following formulas:
λ1 = T/2 + √(T2/4 – D)
λ2 = T/2 – √(T2/4 – D)
where T = a + d and D = ad – bc
To find the eigenvalues of a given matrix, simply fill in the values below and then click the “Calculate” button:

Trace: 5.000000

Determinant: -39.000000

λ1: 9.226812

λ2: -4.226812

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