Find the matrices of transformation `T_(1)T_(2) and T_(2)T_(1)` when `T_(1)` is rotated through an angle `60^(@) and T_(2)` is the reflection in the Y-asix Also, verify that `T_(1)T_(2)!=T_(2)T_(1).`

Explanation

To solve the problem, we need to find the transformation matrices \( T_1 \) and \( T_2 \) based on the given transformations, and then compute the products \( T_1 T_2 \) and \( T_2 T_1 \).

### Step 1: Define the transformation matrices

1. **Rotation Matrix \( T_1 \)**:
The rotation matrix for an angle \( \theta \) is given by:
\[
T_1 = \begin{pmatrix}
...