The characteristic polynomial (CP) of a 2x2 matrix calculator computes the characteristic polynomial of a 2x2 matrix.
INSTRUCTIONS: Enter the following:
Polynomial: The calculator returns the polynomial.
The characteristic polynomial of a 2x2 matrix `A` is a polynomial whose roots are the eigenvalues of the matrix `A`. It is defined as `det(A-λI)`, where `I` is the identity matrix. The coefficients of the polynomial are determined by theand of the matrix.
For a 2x2 matrix, the characteristic polynomial is `λ^2-("trace")λ+("determinant")`, so the eigenvalues `λ_(1,2)` are given by the quadratic formula: