Matrices and transformations questions | form four Basic Mathematics

Find Matrices and transformations examination questions, form four Basic Mathematics in acaproso.com

#	Question
1	Find the image of the point (2,5) after rotation by 90° anticlockwise about the origin. Mathematical Calculation
2	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). Mathematical Calculation
3	A linear transformation M maps the point (x,y) onto (x' ,y') where by x' =x - y y' =2x + y. Write the matrix M of this transformation. What is the matrix $M^{-1}$ or the inverse of M? Compute the product matrix $MM^{-1}$ Mathematical Calculation
4	What is the image of vector (-2,1) under the transformation matrix $egin{pmatrix} 3 &0 \ 0&3 end{pmatrix}$ followed by $egin{pmatrix} 4&0 \ 0&4 end{pmatrix}$ ? Mathematical Calculation
5	Reflect the vector (1,2) in the line y = -x. Mathematical Calculation
6	A linear transformation T maps $ar{u}=(3,-4)$ into (-5,3) and $ar{v}=(3,1)$ into (5,18). Find The matrix T; $T[3ar{u}-2ar{v}]$ Mathematical Calculation
7	Find x and y given that; $egin{pmatrix} x\y end{pmatrix}= egin{pmatrix} 4 &2 \ -1 & 0 end{pmatrix} egin{pmatrix} 3\-2 end{pmatrix}+ egin{pmatrix} 1\6 end{pmatrix}$ Mathematical Calculation
8	What is a linear transformation? Mathematical Calculation
9	Is a translation a linear transformation? Mathematical Calculation
10	A translation takes the point (5, 8) to (12, -4). Find where it will take the point (8, 5). Mathematical Calculation