3 June 28 Let T R R Be The Linear Transformation That Reflects A Vector Over The Line Y X And Then Rotates I 1 (30.12 KiB) Viewed 11 times
Linear Transformation, very confused, please draw and explain ina neat manner, thanks!
3. [June 28] Let T : R² → R² be the linear transformation that reflects a vector over the line y = -x and then rotates it by 30° counterclockwise. (a) Draw a picture showing the effect of T on the standard basis vectors e, and e2, and use this to compute the 2 x 2 matrix A that corresponds to T. (b) Use the formulas seen in class to write down the 2 × 2 matrix B corresponding to rotation by 30° counterclockwise, and the matrix C corresponding to reflection over y = -x. (c) Verify that B(Cx) = Ax.
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