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    Matrix Product

    Result

    (28 | 33 | 29 28 | 31 | 31 28 | 33 | 29)

    Dimensions

    3 (rows) × 3 (columns)

    Matrix plot

    Matrix plot

    Transpose

    (28 | 28 | 28 33 | 31 | 33 29 | 31 | 29)

    Trace

    88

    Determinant

    0

    Matrix rank

    2

    Nullity

    1

    Characteristic polynomial

    -λ^3 + 88 λ^2 + 180 λ

    Eigenvalues

    λ_1 = 90

    λ_2 = -2

    λ_3 = 0

    Eigenvectors

    v_1 = (1, 1, 1)

    v_2 = (33, -59, 33)

    v_3 = (-31, 14, 14)

    Diagonalization

    (28 | 33 | 29 28 | 31 | 31 28 | 33 | 29) = P.D.P^(-1) where P = (33 | -31 | 1 -59 | 14 | 1 33 | 14 | 1) D = 2(-1 | 0 | 0 0 | 0 | 0 0 | 0 | 45) P^(-1) = 1/4140(0 | -45 | 45 -92 | 0 | 92 1288 | 1485 | 1367)

    Condition number

    ∞

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