let A be an nxn matrix such that A^2=0nxn.Prove that if y is an eigenvalue of A,then we must have that y=0
Follow Math Help Forum on Facebook and Google+
Originally Posted by math8553 let A be an nxn matrix such that A^2=0nxn.Prove that if y is an eigenvalue of A,then we must have that y=0 Since is eigenvalue of it means there is so that . Thus, From here we see that because .
View Tag Cloud