Prove that when AC matrices are multiplied and equal the identity matrix the solution of Ax=b is consistent for all real numbers
35874
Show that when $BA = I$, the solution of $Ax=b$ is unique
57125
Prove the distributive law $a(b+c)=ab+ac$ for real numbers?
145447
bilinear form - proof
116798
First-year matrix problem: How do you show that a sum of an identity matrix and another matrix is equal to the sum's inverse?
116136
Proof that the inverse of a square matrix is unique
78736
Check my proof that $(ab)^{-1} = b^{-1} a^{-1}$
61274
If $AA^T$ is the zero matrix, then $A$ is the zero matrix
31783
Is this proof of $ab = 0$ correct?
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
145397
How to prove that for every $i$, $a_i = i$
70157
Is every matrix $A$ such that $A^k=I$ diagonalizable?
125569
Prove that the eigenvalues of a real symmetric matrix are real
106011
Proving it has all real roots
21788
Proving that if $ad-bc = \pm 1$, then $\gcd(x,y) = \gcd(ax +by, cx + dy)$
141173
Are there matrices such that $AB=I$ and $BA \neq I$
56312
Why can this product of rectangular matrices not be the identity matrix?
55062
$2\times 2$ matrix $C=AB-BA$