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transformation matrix

Question 1

The transformation represented by 2 x 2 matrix Q , is reflected in the line y=x, can you write down the matrix Q ?

Question 2

The transformation represented by 2 x 2 matrix R , is a rotation of 180° about the point (0,0), can you write down the matrix R?

Question 3

Can you find the invariant lines of transformation matrix Q and R respectively?