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Hermitian Conjugate
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
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
∞