7)a)i) T(A) means to apply the transformation T to the point A. As T is a vector translation u can simply add the respective co-ordinates to get the co-ordinates of the image after the translation. (2) + (3) = (5)
(1) + (2) = (3)
Therefore the answer is (5,3)
7)a)ii) Now, MT(A) means to apply the transformation T first and then apply M to the new image.
After applying T , the image's co-ordinates are (5,3)
M is reflection in the line y=x. First, draw the line y=x, reflect the point. The new co-ordinates shud be (3,5).
PS : Wenever a point on the cartesian plane is reflected in the line y=x, the image co-ordinates are actually the inverse of the object co-ordinates.
7)b) This is a direct question . Answer : (0 1)
(1 0)
U can find the list here :
https://studentforums.biz/index.php/topic,5575.msg167872.html#msg167872 (3rd message)
7)c) For this u have to do the transformation mentioned in the q i.e TM(Q)
So, M(Q) = (k-3, k-2) (Remember the reversing method)
T(k-3, k-2) = ((k-3) + 3, (k-2) + 2) = (k,k)
The y-co-ordinate of the image is k, and the x-co-ordinate of the image is also k. Thus its always on the line y=x..
7)d) The inverse of the identity matrix remains the same,
7)e)i) N = (0 4) - (0 3) = (0 1)
(0 0) (1 0) (-1 0)
7)e)ii) Check the list :
https://studentforums.biz/index.php/topic,5575.msg167872.html#msg167872 rotation 90 degrees clockwise around centre (0,0)
