I have a few questions in this area which I am still stuck on. Hopefully you will give me some help....

1) How do I find the matrix of a transformation if only the coordinates are given?

For example, a triangle with coordinates (0,1) (3, 5) (1, 5) is reflected in the line x = 3, such that

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[FONT="](? ?)x(0 3 1) = (6 3 5)[/FONT]

[FONT="](? ?)x(1 5 5) = (1 5 5)

But how do I find the matrix that transforms this, given the new coordinates?

2) I also don't fully understand this question....

Write the statements x - 4y = 2m and 2y - x = n as vector equations....

3) A triangle ABC has the coordinates A = (0, 1), B = (3, 5), C = (1, 5)

M is a reflection in the line x = 0, mapping it onto A

_{1}B

_{1}C

_{1}, and T is a translation determined by the vector

(6)

(0)

Mapping the triangle A

_{1}B

_{1}C

_{1}onto A

_{2}B

_{2}C

_{2 }

Find the transformation K such that K = TM

So how to I multiply a matrix (M) with a vector (T)? If this is indeed what it is asking me.

(-1 0)x(6)

( 0 1)x(0)

Thanks

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