If -LCB- e1 , e2 , e3 -RCB- is a standard basis of R3 , then show that -LCB- e1 + e2 , e2 + e3 , e1 + e3 -RCB- is also a basis of R3 . How do I solve it ?
What is an Eigen vector ? What relation does it have to basis vectors ?