Home / Get Math Help
Cofactor
Result
(-9 | 18 | -9 6 | -12 | 6 -3 | 6 | -3)
Dimensions
3 (rows) × 3 (columns)
Matrix plot
Transpose
(-9 | 6 | -3 18 | -12 | 6 -9 | 6 | -3)
Trace
-24
Determinant
0
Matrix rank
1
Nullity
2
Characteristic polynomial
-λ^3 - 24 λ^2
Eigenvalues
λ_1 = -24
λ_2 = 0
λ_3 = 0
Eigenvectors
v_1 = (3, -2, 1)
v_2 = (-1, 0, 1)
v_3 = (2, 1, 0)
Diagonalization
(-9 | 18 | -9 6 | -12 | 6 -3 | 6 | -3) = P.D.P^(-1) where P = (3 | -1 | 2 -2 | 0 | 1 1 | 1 | 0) D = (-24 | 0 | 0 0 | 0 | 0 0 | 0 | 0) P^(-1) = 1/8(1 | -2 | 1 -1 | 2 | 7 2 | 4 | 2)
Condition number
∞