Matrices and transformations questions | form four Basic Mathematics

(a) Given a triangle with vertices A(0, 0) , B(3, 0) and C(3, 1) ; find its image under:
(i) a translation by the vector (2, 3) ,
(ii) the enlargement matrix
(b) Sketch the triangle and the images in parts (a)(i) and (ii) on the same pair of axes and comment
on their sizes.

Answer / Solution

UNSOLVED

(a) Given matrices  and such that , find the elements of
matrix P .
(b) Determine the matrix A from the equation

Answer / Solution

UNSOLVED

1. Find the inverse of matrix
2. Find the point ,  If
3. Determine the  image of the point obtained in part (2) under enlargement by the matrix   followed by a reflection in the line  y= x .

Answer / Solution

UNSOLVED

1. Determine a matrix M which represents a reflection in the line y − x = 0
2. Find the image of the line x + 2y − 4 = 0 after a reflection in the line y − x = 0 .

Answer / Solution

UNSOLVED

1. If  find and .
2. Use the inverse matrix obtained in (1)to solve 3x + 2y = 12 and 4x − y = 5 .

Answer / Solution

UNSOLVED