Equal traces and similar matrix
116820
If two matrices have the same characteristic polynomials, determinant and trace, are they similar?
68608
Why do row equivalent matrices have the same row space?
37162
Prove that matrices have equal rank.
71203
Proving that two systems of linear equations are equivalent if they have the same solutions
23224
$\mbox{rank}(A)=1$ implies $\det(A+I)=\mbox{trace}(A)+1$
50384
A matrix and its transpose have the same set of eigenvalues/other version: $A$ and $A^T$ have the same spectrum
65783
Proving: "The trace of an idempotent matrix equals the rank of the matrix"
77587
Cross product: matrix transformation identity
146715
A square matrix has the same minimal polynomial over its base field as it has over an extension field
36613
Prove that simultaneously diagonalizable matrices commute
53032
Trace minimization when some matrix is unknown
59402
Comparing Eigenvalues of Positive Semidefinite Matrices
110502
$AB=BA$ with same eigenvector matrix
97281
Question regarding matrices with same image
108567
Nielsen & Chuang Exercise 2.2 - “Matrix representations: example”
30889
Classifying complex $2\times 2$ matrices up to similarity
101631
Determinant of a finite-dimensional matrix in terms of trace