Question

Reflect the given triangle over

the line y=x.
3
-3
6
3
3
3
3
B!
-3
3
[?] [
[ ] [

Answer 1

`\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right]`

Explanation:

Reflection over the line y=x is described by the transformation ...

(x, y) ⇒ (y, x)

The corresponding transformation matrix is ...

`\left[\begin{array}{cc}0&1\\1&0\end{array}\right]`

When this left-multiplies the given coordinate matrix, the result is the one shown above.