Question: 3. Let T : R2 - R2 be a linear transformation such that T(x) = Ax where A = - 3 Find a basis for

3. Let T : R2 - R2 be a linear transformation such that T(x) = Ax where A = - 3 Find a basis for R2, B, such that the matrix for the transformation relative to B is diagonal and then find [T] B. 4. Let L be the line through the points (0, 0) and (1, 2). Let T : R2 - R be a linear transformation such that for each a E R', T reflects a over L and then rotates the reflection by 7/3 radians counterclockwise about the origin. Find the matrix of the transformation relative to the standard basis

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