the image of the point `A(2,3)` by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point `(alpha,beta),` find `alpha and beta`

Explanation

Let `B(x_(1),y_(1))` be the image of the point `A(2,3)` about the line y=x, then
`[(,x_(1)),(,y_(1))]=[(0,1),(1,0)][(,2),(,3)]=[(,3),(,2)]`
therefore , the image of A(2,3) by the line mirror y=x is B (3,2).
Given, image of B by the line mirror y=0 (X-axis) is `(alpha,beta),` then
`[(,alpha),(,beta)]=[(1,0),(0,-1)][(,3),(,2)]=[(,3),(,-2)]`
on comparing, we get `alpha=3 andbeta=-2`