determinants, eigenvalues, diagonalize, LU decomposition. 8 hours ago The calculator will find the row echelon form (RREF) of the given augmented matrix for a given field, like real numbers (R), complex numbers (C), rational numbers (Q) or prime integers (Z). Write the corresponding (solve...
which produces a characteristic equation suitable for further processing. Second calculator - theEigenvalue calculatorsolves that equation to find eigenvalues (using analytical methods, that's why it works only up to 4th degree), and the calculator below calculates...
Q5 Are all eigenvectors linearly independent? Eigenvectors are linearly independent when the corresponding eigenvalues of a matrix are distinct.
While an matrix always has eigenvalues, some or all of which may be degenerate, such a matrix may have between 0 and linearly independent eigenvectors. For example, the matrix has only the single eigenvector . Eigenvectors may be computed in the Wolfram Language using Eigenvectors[matrix]. Thi...