k here's some more I am having trouble with..
Prove the following test for convergence (using the above definition of the norm): If the sum, from k=0 to infinity, of the norm of Ak (where k is the subscript) converges then the sum of Ak) where k is the subscript) converges.
And how do...
See. that's what I thought too..that you can't prove it b/c it is true by definition., but my prof seems to want us to prove it with a given definition of the norm.
he defines it to be , for a n x m matrix A, the norm of A=(sqrt(nm))(max{abs.val(aij)}), where the ij are subscripts.
I...