MathS TrAnsforMation Matricess

[Talha]

Plz can any1 tel me the complete list of all the MATRICES related to Transformation chapter which includes MATRICES of REFLECTION, ROTATION,ENLARGEMENT,STRETCH AND SHEAR....... PLZZZZ HELPP...

 

[Zohaib Sherazi]

Use this http://www.s-cool.co.uk/gcse/maths/tran ... reflection

 

[hassam]

go thru the matrices in cambridge igcse maths book.there is avery good way mentioned to remember them

 

[Talha]

@zohaib: thnx.... but the link u gv to me had description of reflection, rotation, shear etc but it had no description of MATRICES... so can u tell me da link 4rm where i cn get the complete transformation matrices list???

 

[PlanetMaster]

For transformation matrices, http://en.wikipedia.org/wiki/Transformation_matrix should do fine.

 

[arif1310]

TRANSFORMATION-MATRICES-MATRIX EQUATON (cos i cant write the matric as they are originally written here im gna hav to write them as (w x y z) where w and x will be in the same row and w and y, x and z will be in the same column and for (w x) w and x will be in the same cloumn)

1-translation~(h k)~ (x' y')=(x y)+(h k)

2-Enlargement with centre at origin and scale factor k~ (k 0 0 k)~ (x' y')=(k 0 0 k)(x y)

3- Reflection in x-axis~ (1 0 0 -1)~(x' y')=(1 0 0 -1)(x y)

4- reflection in y-axis~(-1 0 0 1)~(x' y')=(-1 0 0 1)(x y)

5-reflection in line Y=x~(0 1 1 0)~ (x' y')=(0 1 1 0)(x y)

6-reflection in line y= -x~(0 -1 -1 0)~(x' y')= (0 -1 -1 0)(x y)

7-rotation of 90 deg anticlockwise abt origin~(0 -1 1 0)~ (x' y')=(0 -1 1 0)(x y)

8- reflection of 90 deg clockwise abt origin~(0 1 -1 0)~ (x' y')=(0 1 -1 0)(x y)

9-rotation of 180 deg abt origin~(-1 0 0 -1)~(x' y')=(-1 0 0 -1)(x y)

10-shear parallel to x axis shear factor k~(1 k 0 1)~(x' y')=(1 k 0 1)(x y)

11-shear parallel to y axis shear factor h~(1 0 h 1)~(x' y')=(1 0 h 1)(x y)

12-stretch parallel to x axis sretch factor k~(k 0 0 1)~(x' y')=(k 0 0 1)(x y)

13-stretch parallel to y axis stretch factor h~(1 0 0 h)~(x' y')=(1 0 0 h)(x y)

14-stretch parallel to y axis with factors k and h respectively~(h 0 0 k)~(x' y')=(h 0 0 k)(x y)

hope it helps

 

[Talha]

thnx man....

 

[arif1310]

no problem... =)