Mathematics Week
2004                                                                       

                                                                       

 

 

 

 

 

 

WEDNESDAY QUESTION
Answers to all four questions (Mon-Thu) are to be placed in boxes outside the SRC on Friday before 4pm.
$100 prize for first correct answers drawn.

 

 

For students enrolled in MATHS 300-level

 

 

 

 

The Matrix Revisited

 

Let A be a complex square nxn matrix such that A2 = Idn.

Prove that:

rank(A – E) + rank(A + E) = n