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    Conjugate Transpose Matrix

    Result

    (1 | 3 | 1
2 | 2 | 2
3 | 1 | 3)

    Jordan decomposition

    (1 | 3 | 1
2 | 2 | 2
3 | 1 | 3) = S.J.S^(-1)
where
S = 1/2(-2 | 1 | 10
0 | -1 | 12
2 | 0 | 14)
J = (0 | 1 | 0
0 | 0 | 0
0 | 0 | 6)
S^(-1) = 1/18(-7 | -7 | 11
12 | -24 | 12
1 | 1 | 1)

    Dimensions

    3 (rows) × 3 (columns)

    Matrix plot

    Matrix plot

    Transpose

    (1 | 2 | 3
3 | 2 | 1
1 | 2 | 3)

    Trace

    6

    Determinant

    0

    Matrix rank

    2

    Nullity

    1

    Characteristic polynomial

    6 λ^2 - λ^3

    Eigenvalues

    λ_1 = 6

    λ_2 = 0

    Eigenvectors

    v_1 = (5, 6, 7)

    v_2 = (-1, 0, 1)

    Condition number

    ∞

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