Why do similar matrices represent the same linear transformation?
32767
Similar Matrices and Linear Transformations
71203
Proving that two systems of linear equations are equivalent if they have the same solutions
24132
Why does Gaussian elimination not preserve similarity of a matrix?
56243
Representation under which Pauli matrices transform
45261
Why is the determinant of a rotation matrix equal to 1?
20659
Is trace invariant under cyclic permutation with rectangular matrices?
6267
Matrices: system that is "computationally singular" versus "exactly singular"
41860
Linear Transformation and Matrices
70606
Show that the LU decomposition of matrices of the form $\left[\begin{smallmatrix}0& x\\0 & y\end{smallmatrix}\right]$ is not unique
115295
Why are the two dot product definitions equal?
121769
How to find the matrix representation of a linear tranformation
117175
Proof that the 2-norm of orthogonal transformation of a matrix is invariant
85581
Matrices commute if and only if they share a common basis of eigenvectors?
19203
Is the rank of a matrix the same of its transpose? If yes, how can I prove it?
92744
These two operators commute...but their eigenvectors aren't all the same. Why?
7965
Why isn't the eigenclass equivalent to self.class, when it looks so similar?
151443
Find two $2 \times 2$ matrices $A$ and $B$ with the same rank, determinant,...but they are not similar.