Proof of equal characteristic polynomials for congruent matrices?
30665
Elegant proofs that similar matrices have the same characteristic polynomial?
58149
Working with symmetric polynomials
146438
Determinant of a special skew-symmetric matrix
132213
Is every real monic polynomial the characteristic polynomial of a real matrix?
100899
Coefficients of the characteristic polynomial
146046
Are two matrices having the same characteristic and minimal polynomial always similar?
138342
Proof of a matrix exponential identity
126561
Proof of equivalence of algebraic and geometric dot product?
150715
Prove that the determinant of skew-symmetric matrices of odd order is zero
21853
When are minimal and characteristic polynomials the same?
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
55272
Prove that all nxn nilpotent matrices of order n are similar.
104293
How to prove "eigenvalues of polynomial of matrix $A$ = polynomial of eigenvalues of matrix $A$ "
19649
A question about the proof of "a symmetric matrix has real eigenvalues".
17391
Diagonalisation and characteristic polynomial
134709
Express symmetric polynomial $\prod_{i < j} (X_i+X_j)$ in terms of elementary symmetric functions
7712
How to prove the both identity (matrix)