**Q1: **

Consider the matrix where .

Find .

- A
- B
- C
- D
- E

Find .

- A
- B2
- C
- D1
- E0

By drawing the image of the unit square under the transformation, identify the geometrical transformation this matrix corresponds to.

- Aa rotation by clockwise about the point
- Ba rotation of clockwise about the origin
- Ca reflection in the line
- Da projection onto the line
- Ea reflection in the line

**Q2: **

Consider the transformation represented by the matrix

What is the image of the square with vertices , , , and under this transformation?

- Aan arrowhead with vertices , and
- Ba square with vertices , , , and
- Can arrowhead with vertices , and
- Da square with vertices , , , and
- Ea kite with vertices , and

What geometric transformation does this matrix represent?

- Aa dilation with scale factor and center the origin
- Ba stretch in the -direction
- Ca stretch in the -direction
- Da dilation with scale factor 3 and center the origin
- Ea rotation about the origin by an angle of

**Q3: **

The vertex matrix of a square of side 1 shown is

Determine the vertex matrix of the image after a transformation by the matrix , and state what geometric figure it is.

- A , a square
- B , a rectangle
- C , a parallelogram
- D , a rhombus

**Q4: **

Let be the transformation produced by a nonzero matrix with a zero determinant. What is the image of a unit square under ?

- Aanother square
- Ba single point
- Ca parallelogram
- Da line segment containing the origin
- Ea rhombus

**Q5: **

Let be a linear transformation of into itself with the property that and .

Using the fact that , find .

- A
- B
- C
- D
- E

Using the fact that , find .

- A
- B
- C
- D
- E

Find a vector so that .

- A
- B
- C
- D
- E

What is , where and ?

- A
- B
- C
- D
- E

By considering suitable linear combinations of and , find and .

- A ,
- B ,
- C ,
- D ,
- E ,

Find the matrix which represents the linear transformation .

- A
- B
- C
- D
- E