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Apply the given matrix as a transformation function to coordinates of a point P(x,y). Multiply matrix with coordinates vector to get a new coordinate vector.

  \left[\begin{array}{ccc}0&1\\1&0\end{array}\right]  \left[\begin{array}{ccc}x\\y\end{array}\right] =  \left[\begin{array}{ccc}y\\x\end{array}\right] \\

If x = y, then there is no change in the coordinates of the given point. That means x = y is a mirror for other points.

So x becomes y and y becomes x after transformation. Take (3,0) and (0,3) join them. Take (2,0) and (0,2) join them. You find that.

This is the reflection along the diagonal of matrix: x = y or x - y =0

See the diagram.

2 3 2
added. select as best answer
i have no potion for selection.
u get after some time. or when there is a second ans
thanx n u r welcom
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