Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2014-07-19 13:20:10

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)

Offline

Board footer

Powered by FluxBB