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FP1:Matrix Transformations

The Transformation T of the plane consists of a translation defined by the vector
Unparseable latex formula:

[br]\left[[br] \begin{array}{ c c }[br] 1 \\[br] 2[br] \end{array} \right][br]

followed by a reflection in the line passing through the origin and inclined at an angleπ8\frac{\pi}{8}

I havent acctualy done vectors yet but does the vectors corresponding matrix look like this?
Unparseable latex formula:

[br]\left[[br] \begin{array}{ c c c }[br] 1&0&1 \\[br] 0&1&2 \\[br] 0&0&1[br] \end{array} \right][br]




a) Find the 3x3 matrix T

Unparseable latex formula:

[br]\left[[br] \begin{array}{ c c c }[br] Cos\frac{\pi}{8} &Sin\frac{\pi}{8}&0 \\[br] Sin\frac{\pi}{8}&-Cos\frac{\pi}{8}&0 \\[br] 0&0&1[br] \end{array} \right][br]

x
Unparseable latex formula:

[br]\left[[br] \begin{array}{ c c c }[br] 1&0&1 \\[br] 0&1&2 \\[br] 0&0&1[br] \end{array} \right][br]

correct?????????
Reply 1
Avatar for Infinity_Kev
Infinity_Kev
OP
bumpy?
The translation matrix is okay, but doesn't the reflection matrix use double angles (its been a while)?

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