Find Characteristic Polynomial of a square Matrix
Characteristic Polynomial of the square n × n matrix A , denoted by pA (λ), is defined as a determinant of λI - A,
where I is the n × n identity matrix. Roots of the characteristic polinomial pA (λ) of the matrix A are the eigenvalues of A.
First, specify the dimension n of the matrix A, and then populate the matrix.
Please note:
Dimension of the matrix :
Characteristic Polynomial of the square n × n matrix A , denoted by pA (λ), is defined as a determinant of λI - A,
where I is the n × n identity matrix. Roots of the characteristic polinomial pA (λ) of the matrix A are the eigenvalues of A.
First, specify the dimension n of the matrix A, and then populate the matrix.
Please note:
- We have limited the dimension n in the "Manual Entry" tab to 10 due to the limited space on the screen.
- For the matrices dimension 3 or less, eigenvalues will be calculated analytically. However, for dimensions 4 and greater,
we might need to use numerical methods to find eigenvalues. - Some authors are deifining charcteristic polinomial as det(A - λI) , however, we are using the det (λI - A) form which will give a monic polinomial.
A =
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