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Math 1502 Quiz 6

April 04, 2000

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Problem 1 (10 points)

Find the matrices of:

a) Rotation (in the plane) by 60 degrees counterclockwise

b) Reflection about the line y = x

c) Reflection about the y axis

Find the matrix of the combined opertion gotten by doing a) b) c) in that order

Draw (together with the intermediate steps) , that happens to the House:

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Calculations

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Problem 2 (5 Points )

When each point is multiplied by A

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Computations

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Problem 3 (10 points)

Find formulas for

a) Translation by the vector

b)Rotation about the y sxis 60 degrees counterclockwise

c) Tanslation by the vector

Find a formula for the operation gotten by doing a) b) c) in that order. Express the answer in terms of Ax + b, where x is the starting vector, A is a matrix and b is a vector.

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Ans

Converted by *Mathematica*
April 4, 2000