Revision #503 → #1066 · back to history
addedCayley–Hamilton theoremd5c4ab3e16dc
addedCharacteristic polynomiala6b8eb4cf01c
addedAⁿ as linear combination of lower powers12a6ce48d502
addedMinimal polynomial divides characteristic polynomial757b22f0f463
added1×1 matrix case086a2012edf8
addedConcrete 2×2 verification0faea7376af5
addedGeneric 2×2 matrix609ed735073e
addedInverse as polynomial in A825980152e83
addedCoefficients as elementary symmetric polynomials of eigenvaluesc772d843392c
addedCoefficients via Bell polynomialsaaf84ccaa548
addedDeterminant trace identity1c65fbb87b8e
addedInverse trace identityff0e5651f1fd
addedCoefficients via Mercator series of the determinantc59232301077
addedFirst few Bell polynomials56f9bdcb4781
added3×3 coefficients via Bell polynomialscc1deb78681c
addedFormulas for c_{n−1} and c_{n−2}a07511b4ab5d
addedRelationship among powers of A72508f91962a
addedComputing A⁴9bcabbc10f23
addedMatrix power as polynomial of degree ≤ n−12b15597504b9
addedAnalytic function via long division7bad16a5e185
addedMatrix function as polynomial of degree < n0cc36c42f8ef
addedSolving coefficients at the eigenvalues461f00ed22e0
addedRepeated eigenvalues: derivative conditionsae2fafe0dbd7
addedInterpolation and Sylvester's formula16e4ea4d08a1
addedComputing e^{At}417a710421b5
addedRotation matrix from matrix exponential2fd38810f72c
addedExponential map and Rodrigues' formula9ffe25ac462d
addedMinimal polynomial of algebraic integers791606b36100
addedConsequence of Jordan normal form2ea67ac7074c
addedTheorem holds for diagonalizable matricesb02da8fbf98c
addedDiagonalizable matrices are denseab85687ff2d0
addedAdjugate matrix and fundamental relationsef99e964d3a0
addedEuclidean division by a monic polynomial9de35d2d96d2
addedadj(A) is a polynomial in Aa746e9b43e46
addedPermanent counterexample to bogus proofaf3288d11c5f
addedTheorem over any commutative ring1f5273d7c897
addedSource of the Nakayama lemma3d7894f971c0
addedTheorem over the quaternions8e0fa0152c0e
addedExplicit expression for coefficients c_icd6f7fb0802b
addedFaddeev–LeVerrier recursive algorithmbba3d20df405
addedTheorem for split-quaternions93570eb61a11
addedModified theorem for octonions4b44a6ad58c9