Math 1502 Quiz 6
April 04, 2000

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:

Calculations

Problem  2 (5 Points )

When each point is multiplied by A

Computations

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.

Ans