Matrices and transformations questions | form four Basic Mathematics

Find the inverse and identity matrix of .

Answer / Solution

UNSOLVED

1. Triangle OAB has vertices at O(0,0), A(2,1) and B(-1,3).  If the triangle is enlarged by nd then translated by ​, Find the vertices of the triangle.
2. Draw on the same x - y plane triangle OAB and the  images after being:

(i)enlarged

(ii)translated

Answer / Solution

UNSOLVED

Given matrices ,   and :

1. Find A²+2A
2. Find t and y such that B²=tB+yI where I is an identity matrix.
3. Find the value of k if the determinant of C is 5.

Answer / Solution

UNSOLVED

A linear translation Q carried point (x,y) into (x`,y`) such that x`=5x-3y and y`=-2x+4y.

1. Determine the transformation matrix Q .
2. Find Q(3,3).
3. Find the image of the point obtained in part (ii) under Q.

Answer / Solution

UNSOLVED

If A and B are square matrices of order 2x2, expand the brackets for (A+B)(A-B).

Answer / Solution

UNSOLVED