I am trying to figure out what the matrix of this linear operator would be:
T:M →AMB where A, M, B are all 2X2 matrices with respect to the standard bases of a 2x2 matrix viz. e11, e12 e21 and e22. Any ideas? Il know it should be 2X8 matrix. I am trying to teach myself Abstract algebra using...
This is a weird coincidence since i was trying to solve a similar problem which is:
Prove that if a ^ p + b ^p = 0 (mod p) then a ^ p + b ^p = 0 (mod p ^ 2)
The logic is exactly similar i guess except that p as to be odd & greater than 2. Can somebody please look into & give me clues to...
I am teaching myself number theory using George Andrews book. i am stuck in the following problem:
To prove that as x cycles thru' the reduced residue set modulo m & y cycles thru' reduced residue set modulo n, nx + my cycles thru' reduced residue set modulo mn.
I am able to prove that...