mikewill54
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- Joined
- Mar 7, 2016
- Messages
- 31
What do you "think" is the correct response and Why?Hi
Im working through some old exam problems in preparation for an exam. And I’ve got no idea how to approach the following question, I’m hoping someone can help
Thanks
MikeView attachment 28537
Hi Mike. I'd sketch a couple vectors (added) and apply the transformation (i.e., do the matrix multiplication with each vector, to obtain the new vectors) and sketch that too. Then I'd compare the resulting triangles' shapes, positions and orientations.I’ve got no idea how to approach [this question]
Sketching is a graphical approach. An easy, arbitrary sketch could be a pair of 2D vectors added: that would graph as a second arrow positioned with its tail at the head of the first arrow. The transformed sketch provides an opportunity to compare the resulting triangles.what do you mean by matrices (added)
Check your arithmetic for points C and D, Mike.Isn’t this just a flattening?
Yes, and it's basically what you've already done with the cat's unit square (graphing it, expressing the sides as vectors, applying matrix/vector multiplication to obtain the transformed vectors' components and graphing them).is there an example online somewhere of what you mean by this “I'd sketch a couple vectors (added) and apply the transformation”
For general lessons about linear transformations, such as those mentioned in your practice exercise, try googling keywords linear transformation examples matrix vector reflection rotation shearing orientation. You may need to peruse several sites, to cover everything; that's been my experience, when searching for well-presented information online covering a broad topic.I’ve lost the notes on matrices and I can’t find much online