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Adjoint
Result
(1 | 3 | 1 2 | 2 | 2 3 | 1 | 3)
Dimensions
3 (rows) × 3 (columns)
Matrix plot
Transpose
(1 | 2 | 3 3 | 2 | 1 1 | 2 | 3)
Cofactors
(4 | 0 | -4 -8 | 0 | 8 4 | 0 | -4)
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)
Jordan decomposition
(1 | 3 | 1 2 | 2 | 2 3 | 1 | 3) = S.J.S^(-1) where S = (2 | -1 | 5 0 | 1 | 6 -2 | 0 | 7) J = (0 | 1 | 0 0 | 0 | 0 0 | 0 | 6) S^(-1) = 1/36(7 | 7 | -11 -12 | 24 | -12 2 | 2 | 2)
Condition number
∞