Math Is Fun Forum

White_Owl

Member

Registered: 2010-03-03

Posts: 106

Reflection over the line in r^3

Question:

is the reflection over the line spanned by (5,-4,7). Find a basis

so that the matrix representing T with respect to

is diagonal.

Here is what I understand:
1)
Since the matrix representing T is in "the most appropriate" basis and it is diagonal, it have to be

Correct?

2)

where

and

Correct?

So how do I find b2 an b3?

Last edited by White_Owl (2014-07-19 13:20:30)