on
transformation by the matrix
we
represent the line by the vector
and
multiply the vector by the matrix:
A Level Maths Notes: FP3 – The Image of a Line Under Transformation By a Matrix
A matrix is a linear transformation, which means that it sends a line to a line.
To find the image of the lineon
transformation by the matrixwe
represent the line by the vectorand
multiply the vector by the matrix:
From this we see that
(1)
(2)
Rearrange (1) to make
the
subject and substitute into (2):
This is the image of the line.
To find the image of the line
on
transformation by the matrix
we
represent the line by the vector
and
multiply the vector by the matrix:
From this we see that
(1)
(2)
Rearrange (1) to makethe
subject and substitute into (2):
This is the image of the line.