show that for all A,B nxn matrices over the field F:

a)trace(X+Y)=trace(X) + trace(Y)

b)trace(XY)=trace(YX)

c)show that there are no nxn matrices X,Y such that XY-YX= indentity martrix

Printable View

- Sep 22nd 2009, 03:46 PMamm345Matrices- Trace
show that for all A,B nxn matrices over the field F:

a)trace(X+Y)=trace(X) + trace(Y)

b)trace(XY)=trace(YX)

c)show that there are no nxn matrices X,Y such that XY-YX= indentity martrix - Sep 22nd 2009, 04:06 PMTaluivren