0 like 0 dislike
82 views
For non-zero real numbers one uses $\frac{1}{a}-\frac{1}{b}=\frac{b-a}{a b}$. Verify the following analog for invertible matrices $A, B$ :
$A^{-1}-B^{-1}=A^{-1}(B-A) B^{-1}$
[The following version is also correct: $\left.A^{-1}-B^{-1}=B^{-1}(B-A) A^{-1} .\right]$
| 82 views

0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike