- #1
flyingpig
- 2,579
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Homework Statement
http://img219.imageshack.us/img219/3434/transp.th.png
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The Attempt at a Solution
Personally, I always have trouble doing these type of problems algebraically and using the def of Linear Transformation.
I always resort to drawing pictures and see where they go then writ out my standard matrix
So I did that and I got
[PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP159819f5fef5cd3be33100005ce6h6eh806b03h8?MSPStoreType=image/gif&s=63&w=55&h=36
Now if I were to do this using algebra, I have to find the standard matrix for each transformation
So starting with my unit vectors
[PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP212219f5fci0014e55a80000102e73aga167a9ih?MSPStoreType=image/gif&s=62&w=44&h=36
For a reflection the standard matrix for this transformation is [PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP165419f5fef5cd3be331000047gig59d7ga41029?MSPStoreType=image/gif&s=63&w=44&h=36
For a rotation 90 degrees the standard matrix for this transformation is [PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP240719f5fcfg088hgc650000205f87i63i2h04fg?MSPStoreType=image/gif&s=57&w=55&h=36
So e1 -> e2 -> e2
e2 -> e1 -> -e1
So the standard matrix I get is [PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP240719f5fcfg088hgc650000205f87i63i2h04fg?MSPStoreType=image/gif&s=57&w=55&h=36
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