Whether range of matrix $A^TA$ is the same as that of $A^T$
70468
Row space and column space of $A^T A$ and $A A^T$
52928
If $\mathrm{Tr}(A)=0$ then $T=R^{-1}AR$ has all entries on its main diagonal equal to $0$
75690
Does the given matrix have a square root?
28565
Prove $\operatorname{rank}A^TA=\operatorname{rank}A$ for any $A\in M_{m \times n}$
150714
Quick question: matrix with norm equal to spectral radius
5058
Eigenvalues of the rank one matrix $uv^T$
74532
Solve for $ A $ from $ A {A}^{T} $
16789
Prove that $T^2$ is the zero transformation if and only if $\mathrm{range}(T) \subseteq \ker(T)$.
79526
How do I tell if matrices are similar?
36567
$A^{T}A$ positive definite then A is invertible?
152665
$A^TA+I$ is always invertible?
126747
Null space for $AA^{T}$ is the same as Null space for $A^{T}$
126711
What is the square matrix $A$ equal to if $A=A^2$
19203
Is the rank of a matrix the same of its transpose? If yes, how can I prove it?
65062
Prove $\text{rank}(A) \geq \frac{(\text{tr}(A))^2}{\text{tr}(A^2)}$ when $A$ is Hermitian
133756
Geometric interpretation of $\det(A^T) = \det(A)$
19132
Similar matrices have the same eigenvalues with the same geometric multiplicity