- Thread starter
- #1

- Thread starter delgeezee
- Start date

- Thread starter
- #1

- Thread starter
- #3

Yes i know if the det = 0 then the matrix is not invertible, or if i can introduce a row or columns of zeros its not invertible.Have you considered the Determinant?

im not sure but maybe there is something involved with transformations.

- Feb 21, 2013

- 739

Hello delgeezee,Yes i know if the det = 0 then the matrix is not invertible, or if i can introduce a row or columns of zeros its not invertible.

im not sure but maybe there is something involved with transformations.

If matrice \(\displaystyle A\) is invertible Then \(\displaystyle A^T\) is Also invertible

Regards,

\(\displaystyle |\pi\rangle\)

- Admin
- #5

- Mar 5, 2012

- 9,599

Yes. It involves transformations that are applicable to determinants.Yes i know if the det = 0 then the matrix is not invertible, or if i can introduce a row or columns of zeros its not invertible.

im not sure but maybe there is something involved with transformations.

In particular you can add or subtract a multiple of any row to another row.

The determinant will remain the same under such a transformation.

- Feb 21, 2013

- 739

Hello,Welcome to MHB, delgeezee!

Yes. It involves transformations that are applicable to determinants.

In particular you can add or subtract a multiple of any row to another row.

The determinant will remain the same under such a transformation.

After I read I like Serena post I realised I missunderstand you did not ask about transport..

I will citate from Ackbach:

"The ERO that takes a multiple of one row, adds it to another row, and stores it in that row, does not change the determinant.

The ERO that switches two rows multiplies the determinant by $-1$.

The ERO that multiplies a row by a nonzero number $m$ also multiplies the determinant by $m$"

Regards,

\(\displaystyle |\pi\rangle\)

- Thread starter
- #7

Thank I was able to introduce a row of zeros by reducing the determinant matrices to upper triangular form thus making the determinant = 0 by taking the cofactor expansion along the row of zeros.Hello,

After I read I like Serena post I realised I missunderstand you did not ask about transport..

I will citate from Ackbach:

"The ERO that takes a multiple of one row, adds it to another row, and stores it in that row, does not change the determinant.

The ERO that switches two rows multiplies the determinant by $-1$.

The ERO that multiplies a row by a nonzero number $m$ also multiplies the determinant by $m$"

Regards,

\(\displaystyle |\pi\rangle\)