CALCULATOR
Diagonal 2×2 Largest Eigenvalue Calculator
Diagonal 2×2 Largest Eigenvalue Calculator — change the supplied values to calculate diagonal 2×2 largest eigenvalue.
Real diagonal 2×2 matrix only; no eigenvector, general matrix or complex spectrum claim.
Accepted inputs: A: -100 to 100 number; D: -100 to 100 number.
How the calculation works
λmax(diag(a,d))=max(a,d)
The characteristic polynomial factors into (λ-a)(λ-d); the diagonal entries are eigenvalues.
Worked example
With a -2 number, d 5 number, diagonal 2×2 largest eigenvalue is 5 number.
Assumptions and limits
Real diagonal 2×2 matrix only; no eigenvector, general matrix or complex spectrum claim.