please compute the determinant of this matrix.. can someone give the general formula.. thanks!!
Follow Math Help Forum on Facebook and Google+
Originally Posted by kalagota please compute the determinant of this matrix.. can someone give the general formula.. thanks!! Develop a recursive form for this determinant, for the case put:: The expand the determinant about the 1 st row: where: Now expand the determinant of about the first column: so we have: and hopefully you can take it from there. ZB
Last edited by Constatine11; Dec 6th 2007 at 07:46 AM. Reason: error in subscripting
Originally Posted by Constatine11 Develop a recursive form for this determinant, for the case put:: The expand the determinant about the 1 st row: where: Now expand the determinant of about the first column: so we have: and hopefully you can take it from there. ZB ? i can't see how you got .. can you show it? thanks
Originally Posted by kalagota ? i can't see how you got .. can you show it? thanks Delete the second column and first row from . ( is the cofactor of the in the first row of ) ZB
Originally Posted by Constatine11 Delete the second column and first row from . ( is the cofactor of the in the first row of ) ZB ok.. i'm just used to do the expansion about rows.. thanks anyway.. (although its too late.. Ü)
Originally Posted by kalagota ok.. i'm just used to do the expansion about rows.. thanks anyway.. (although its too late.. Ü) By the way I have just coded up the solution to the recurrence and compared it to the determinant of some low dimensional examples and they agree. ZB
View Tag Cloud