0
$\begingroup$

My course at university mainly works with 3x3 matrices. We are asked to put them in reduced echelon form which is the easy part, however I come across many matrices that I cannot seem to reduce into echelon form, I do not know if it is irreducible or I am just taking the wrong approach to reduce the matrix.

I was told if the matrix is able to be put into upper triangular form it is reducible but again, I am not sure if I am doing the question wrong or in actual fact that matrix is irreducible.

Any help would be much appreciated!

$\endgroup$
0
$\begingroup$

I'd recommend referring to Rod's comment which linked to this. Otherwise you may want to try the Reduced Row Echelon Form to reduce the matrix completely. Check this helpful video out!

$\endgroup$
0
$\begingroup$

I think the best way to proceed is to practice, a lot, on matrices you know to be reducible, until you feel confident with the row reduction method. Of course, one always makes mistakes every now and then, but if you go back and find no flaw with what you've done, but still fail to put the matrix in reduced row echelon form, then feel confident to say the matrix is irreducible.

In other words: practice, practice, practice.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.