Prove that the matrix multiplication of a set of linearly independent vectors produces a set of linearly independent vectors
140711
Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$
109217
Invertibility of the Product of Two Matrices
87636
A Product function for matrix products
90964
Prove: symmetric positive definite matrix
142229
Prove that if $V \cap \text{Span}\{u_1, u_2,...,u_k\} = \{ 0\} $, then $Au_1, Au_2,...,Au_k$ are linearly independent
61281
Finding maximal sublist of linearly independent vectors
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
138342
Proof of a matrix exponential identity
88473
Proof that the trace of a matrix is the sum of its eigenvalues
146664
The union of two linearly independent subsets
35345
How do i prove invertibility of this linear transformation
87441
Proof involving matrix equation
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
34700
Proving that the matrix exponential map is surjective onto the general linear group
87451
Construction of matrices under ZFC axioms
138343
How to prove that the set $\{\sin(x),\sin(2x),...,\sin(mx)\}$ is linearly independent?
31631
Proof Verification: Joint variance of the product of a random matrix with a random vector