Let $T: \Bbb R^3 \rightarrow \Bbb R^3$ be the linear transformation given by reflecting across the plane $S=\{x:-x_1+x_2+x_3=0\}$ (...) 

Then, $S=\gen[(1,1,0),(1,0,1)]\$

But how can I get the matrix $R_v$ such that reflects across $S$? 

Thanks!


Question: Can you talk on the iPhone and use Siri with Monster beats headphones?
Answer: Yes.

The Monster Beats cables are fully compatible with Apple hardware. They have a mic to support voice actions and Siri. They also have all the hardware buttons for playing music and making phone calls.

I happen to own the Beats Solo headphones.  This is what the packaging says:


  "Made for iPod", "Made for iPhone" and "Made for iPad" mean that an
  electronic accessory has been designed to connect specifically to
  iPod, iPhone or iPad, respectively, and has been certified by the
  developer to meet Apple performance standards.
  
  (also see MiF logo on Apple's website)


These minimum standards would include voice and button actions using the headset.