# Linear Algebra Question

**Question description**

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1) Suppose S: IR2--> IR2 is a reflection across the x-axis and T:IR2-->IR2 is a counterclockwise rotation by pi/2 radians. Find [S] and [T], and use them to show that S o T is a reflection across the line y=x and T o S is a reflection across the line y=-x

2)Consider the linear transformation T: IR2 ---> IR2 which does the following: rotates its input 2pi/3 radians counterclockwise, halves its length and then reflects it across the x-axis. Find [T^-1] by undoing T one step at a time, and then multiplying the resulting matrices

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