/sci/ - Science & Math » Thread #11486896

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Matrix Algebra

Anonymous Fri 20 Mar 19:27:43 2020 No.11486896 View Reply Original Report

Quoted By: >>11486936 >>11488237

hey guys, how do I find a matrix that works where the inverse shoots out integers and not fractions?

looking for 3x3 matrix options.

Anonymous

Anonymous Fri 20 Mar 2020 19:51:53 No.11486936 Report

Quoted By: >>11486975

>>11486896
Determinate has to be 1

Anonymous

Anonymous Fri 20 Mar 2020 20:03:32 No.11486975 Report

Quoted By: >>11488137

>>11486936
thx man

i actually just found a matrix formuoli that will work with any variable and it'll be fixed.

for anyone wonderig, a matrix who's det is 1 is unimodular

Anonymous

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Anonymous Sat 21 Mar 2020 03:42:39 No.11488137 Report

Quoted By:

>>11486975
>a matrix formuoli

Anonymous

Anonymous Sat 21 Mar 2020 04:29:35 No.11488237 Report

Quoted By:

>>11486896
$\begin{bmatrix} 1 & a & c\\ 0 & 1 & b\\ 0 & 0 & 1 \end{bmatrix}$
where a, b and c are integers. Its inverse is
$\begin{bmatrix} 1 & -a & ab - c\\ 0 & 1 & -b\\ 0 & 0 & 1 \end{bmatrix}$
Both matrices have determinant 1.

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