# ws12 - Math 464 Worksheet 12 For this assignment we will...

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Math 464, Worksheet 12 For this assignment we will assume that M , P , D , λ i and v i are as in Worksheet 11. You should probably do all your plots on one set of axes. 1. Plot v 1 . That is: get out graph paper; draw x - and y -axes; draw a dot at the location (1 , 1). If you want, you can also draw an arrow from the origin to the dot, but this is not necessary. 2. Plot M v 1 . Start trying to think of M v 1 as the place that M moves v 1 to. 3. Plot v 2 and M v 2 . 4. Plot v 2 - v 1 . 5. Plot M ( v 2 - v 1 ). 6. Plot 3 v 1 - 3 v 2 . 7. Plot M (3 v 1 - 3 v 2 ). 8. Plot the vector w = bracketleftbigg - 2 2 bracketrightbigg . 9. Solve the equation
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