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(a) Find the matrix of the reflection of R^2 across the line y = (1 /...

(a) Find the matrix of the reflection of R^2 across the line y = (1 / 3)x followed by the reflection of R^2 across the line y = (1/2) x. What type of transformation of the plane is this composition?

b) Find the principal axes y1 and y2 diagonalizing the quadratic form q = (x^2)1 + (8)x1x2 + (x^2)2

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