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4. (a) (5 marks) A linear transformation is applied to a triangle with vertices (0,0),(1,0) and (0,1). This transformation is represented by the following matrix: A = egin{pmatrix} 1 & 1 \ -1 & 1 end{pmatrix}. Draw the transformed image of the triangle. (b) (5 marks) Create a set of linear transformations from shear, compression, expansion, or reflection operations that leaves the triangle in part (a) unchanged. Represent each applicable transformation by a matrix. Then combine these matrices into a linear transformation matrix that leaves the triangle unchanged. Clearly show and explain each step in your derivation.

          4. (a) (5 marks) A linear transformation is applied to a triangle with vertices (0,0),(1,0) and (0,1). This transformation is represented by the following matrix:
A = egin{pmatrix} 1 & 1 \ -1 & 1 end{pmatrix}.
Draw the transformed image of the triangle.
(b) (5 marks) Create a set of linear transformations from shear, compression, expansion, or reflection operations that leaves the triangle in part (a) unchanged. Represent each applicable transformation by a matrix. Then combine these matrices into a linear transformation matrix that leaves the triangle unchanged. Clearly show and explain each step in your derivation.

4. (a) (5 marks) A linear transformation is applied to a triangle with vertices (0,0),(1,0) and (0,1). This transformation is represented by the following matrix:
A = eginpmatrix 1 1 -1 1 endpmatrix.
Draw the transformed image of the triangle.
(b) (5 marks) Create a set of linear transformations from shear, compression, expansion, or reflection operations that leaves the triangle in part (a) unchanged. Represent each applicable transformation by a matrix. Then combine these matrices into a linear transformation matrix that leaves the triangle unchanged. Clearly show and explain each step in your derivation.

Added by Stacey V.

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