Find the standard matrix T for a transformation which action (the image shown in red) on a unit square (blue) is depicted in the picture.

(a) Find the standard matrix T for a transformation which action (the image shown in red) on
a unit square (blue) is depicted in the picture.
(b) Use T to verify the image of the top-right
corner of the unit square is where expected.
(c) Apply T to the image of the original square,
and depict the resulting secondary image.
(d) Describe the result obtained in (c) in terms of
a linear transformation from the unit square,
finding the corresponding standard matrix.
Note the two ways to obtain the result.

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