Linear Algebra and Invertibility of Matrices
5758
Prove that $I+\lambda A$,$I+\lambda B$,$I+\lambda C$ are invertible and A=B=C
4917
Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
82925
Let the matrix $A=[a_{ij}]_{n×n}$ be defined by $a_{ij}=\gcd(i,j )$. How prove that $A$ is invertible, and compute $\det(A)$?
116136
Proof that the inverse of a square matrix is unique
122434
Adjoint of a matrix and inverse of a matrix
65432
Prove that every elementary matrix is invertible, and the inverse is again an elementary matrix.
119301
Is the following matrix invertible?
85845
Matrix with zeros on diagonal and ones in other places is invertible
130498
Linear algebra proof regarding matrices
52040
"Inverse" of an $n\times k$ matrix.
25488
Let $A,B$ be $m\times m$ matrices such that $AB$ is invertible. Show $A,B$ invertible.
39334
Non-degenerate bilinear forms and invertible matrices
94424
Matrices and Eigenvalues of Norm
35834
Is the product of any two invertible diagonalizable matrices diagonalizable?
126990
Invertible matrix and inverse matrix
67990
Commutativity of matrix and its transpose
57318
Property of the conjugate transpose matrix with inner product