1 Reflection about xaxis The object can be reflected about xaxis with the help of the following matrix In this transformation value of x will remain same whereas the value of y will become negative Following figures shows the reflection of the object axis The object will lie another side of the xaxis 2 Let T R 2 → R 2 be a linear transformation of the 2 dimensional vector space R 2 (the x y plane) to itself which is the reflection across a line y = m x for some m ∈ R Then find the matrix representation of the linear transformation T with respect to the standard basis B = { e 1, e 2 } of R 2, where e 1 = 1 0, e 2 = 0 1 Reflect the point (5,4) in the line y = x;
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