Why does $A$ times its inverse equal to the identity matrix?
3301
If $AB = I$ then $BA = I$
155272
Is a matrix with $1$s in the diagonal and off-diagonal entries with absolute value less than $1$ invertible?
149292
Inverse of a diagonal matrix plus a constant
112701
Prove that if matrix $A$ is nilpotent, then $I+A$ is invertible.
153506
Proving the inverse of a matrix equals $I_n-\frac{1}{n-1}A$
46567
Derivatives of inverse matrix
24441
Inverse of a matrix is expressible as a polynomial?
9574
How to show that $\det(AB) =\det(A) \det(B)$?
118304
If $A^2 = I$ (Identity Matrix) then $A = \pm I$
106398
If $A$ is invertible show that $\det(A) \neq 0$
19203
Is the rank of a matrix the same of its transpose? If yes, how can I prove it?
74341
Proving an invertible matrix which is its own inverse has determinant $1$ or $-1$
40478
If $C$ commutes with certain matrices $A$ and $B$, why is $C$ a scalar multiple of the identity?
29568
Prove that the determinant of $ A^{-1} = \frac{1}{det(A)} $- Linear Algebra
145768
The inverse of a matrix in which the sum of each row is $1$
141922
Reason for reversing the order when transpose and inverse of a group of matrices
3150
Is there an intuitive interpretation of $A^TA$ for a data matrix $A$?