Matrices and transformations questions | form four Basic Mathematics

Find the image of the point (2,5) after rotation by 90° anticlockwise
about the origin.

Answer / Solution

UNSOLVED

A translation T maps the origin onto the point (-2,3)
A second translation S maps the origin onto the point (1,-2)
Find where T followed by S will take the point (4,-5).

Answer / Solution

UNSOLVED

A linear transformation M maps the point (x,y) onto (x' ,y') where by  x' =x - y
y' =2x + y.

1. Write the matrix M of this transformation.
2. What is the matrix   or the inverse of M?
3. Compute the product matrix

Answer / Solution

UNSOLVED

What is the image of vector (-2,1) under the transformation
matrix  followed by ?

Answer / Solution

UNSOLVED

Reflect the vector (1,2) in the line y = -x.

Answer / Solution

UNSOLVED