Math Is Fun Forum

Hi bobbym,

is 9460912/124750080 the solution to post #374?

Hi Natkirky,

Substitute x = t^2, after a step or two, you'll get

Yes, you add special effect to math!

Oh, you were talking of breaking something inside you, and I thought you were talking of breaking something around you!

Better stick with math itself, we need you here.

Bye Howardroark...

I'm hearing that for the first time!
Do something physical when you feel groggy, go out and turn a few somersaults!!

Hi bobbym,

Thank you for all the beautiful questions. Solutions are nothing compared to it !

But why don't you sleep well? Do you love math so much that you can't sleep ?!
Or is there another bobbym?

Hi Howardroark,
I'm from India, what about you?

Hi Howardroark,

You said it
Did you try some here: http://www.mathisfunforum.com/viewtopic.php?id=12832&p=7

Hi SuperLynx,

Did you check the document : http://www.numbertheory.org/book/cha4.pdf
I don't know to explain better
Tell what you did not follow.

Hi SuperLynx,

You can do it by using the recursive definition for determinants.

E.g. consider a 3X3 determinant

That is, you take out the first element of the first row, delete the row and column where it lies, and then compute the determinant of the elements which remain.

Then take out the second element of the first row, prefix a minus sign, delete the row and column where it lies, and then compute the determinant of the elements which remain.

Then take out the third element of the first row, prefix a plus sign, delete the row and column where it lies, and then compute the determinant of the elements which remain.

Utimately, we end up in 2X2 determinant, which is easy to compute.
If there are more rows and columns, you compute it in the same way, with alternate plus and minus.

Go here to know some theorems and examples: http://www.numbertheory.org/book/cha4.pdf

Hi bobbym,

At first I thought I could rearrange the longer paths to make the computation easy, but was disappointed to find out they give different answers...

Good, good! You pose wonderful problems!!