As of May 31, 2023, we have updated our Code of Conduct.

# Questions tagged [inverse]

Inverses include: multiplicative inverse of a number (reciprocal), inverse function, matrix inverse, etc. A subject tag such as (linear-algebra), (algebra-precalculus) or (arithmetic) should be added to clarify in which sense "inverse" is used. This tag should never be the only tag on a question.

4,339 questions
Filter by
Sorted by
Tagged with
18 views

### Efficient way to compute the inverse of structured matrix

Let $Z\in R^{n\times p} ($p<n$), X=Z_{-ij}\in R^{n\times (p-2)}$ with the $i$ and $j$-th columns in $Z$ omitted. Given the eigen-decomposition of $ZZ^T=UDU^T$, is there any way to efficiently (...
1 vote
20 views

43 views

### Procedure for finding the inverse of a $3 \times 3$ matrix — intuition?

I understand matrices in the light of linear transformations, and I know that the inverse of a matrix ($A^{-1}$) applied after the transformation $A$ essentially gets you back to where you started — ...
50 views

### If $I-ABC$ is invertible then so is $I-BCA$ [closed]

$I-ABC$ is an invertible matrix. Prove that $I-BCA$ is also invertible.
18 views

81 views