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3. Model Transformations (12 marks) Assume the following basic transformation functions are provided in a library and can be used by your program segments: mat4 Translate(float dx,float dy, float dz); // retum the 4x4 translation matrix mat4 Scaling(float sx, float sy, float sz); // return the 4x4 scaling matrix mat4 RotationX(float angle); // return the 4x4 rotation matrix around x-axis mat4 Rotationy(float angle): // return the 4x4 rotation matrix around y-axis mat4 RotationZ(float angle): // return the 4x4 rotation matrix around z-axis Furthermore, a C++ style operator overlodaing has been defined for matrix-matrix multiplication The object shown below is flat and parallel to the x-y plane. It is to be enlarged by a factor of 2, rotated about the reference point PO = (5.5, 5) such that the object will be parallel to the y-z plane. Write a segment of code to construct the matrix necessary for the above transformation operation. PO 2 END ===== 11 3. Model Transformations (12 marks) Assume the following basic transformation functions are provided in a library and can be used by your program segments: mat4 Translate(float dx,float dy, float dz); // retum the 4x4 translation matrix mat4 Scaling(float sx, float sy, float sz); // return the 4x4 scaling matrix mat4 RotationX(float angle); // return the 4x4 rotation matrix around x-axis mat4 Rotationy(float angle): // return the 4x4 rotation matrix around y-axis mat4 RotationZ(float angle): // return the 4x4 rotation matrix around z-axis Furthermore, a C++ style operator overlodaing has been defined for matrix-matrix multiplication The object shown below is flat and parallel to the x-y plane. It is to be enlarged by a factor of 2, rotated about the reference point PO = (5.5, 5) such that the object will be parallel to the y-z plane. Write a segment of code to construct the matrix necessary for the above transformation operation. PO 2 END ===== 11