Quiz #16 in Mathematics 205: Linear Algebra - Triangle Transformations, Exercises of Linear Algebra

A quiz question from a university-level linear algebra course, mathematics 205, during the fall semester 2004. The question asks students to perform several transformations on a triangle v in the plane with vertices (5, 0), (2, 2), and (4, 3). The tasks include sketching the triangle, converting it to homogeneous coordinates, reflecting it through the line x1 = x2, moving the reflected triangle, and sketching the image of the triangle under the transformation.

Typology: Exercises

2012/2013

Uploaded on 02/27/2013

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Name__________________________________________
Mathematics 205: Linear Algebra
Fall Semester 2004
David Haines
Quiz #16
October 11
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4
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5 is the data matrix for a triangle V in the plane with vertices (5, 0), (2, 2), and (4, 3).
A. Sketch a graph of V.
B. Give a 3 x 3 data matrix for V using homogeneous coordinates.
C. Give a 3 x 3 matrix which first reflects V through the line x1 = x2
then moves the reflected triangle one unit horizontally and two units vertically.
D. Sketch the image of V under this transformation.

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Name__________________________________________

Mathematics 205: Linear Algebra

Fall Semester 2004

David Haines

Quiz

October 11

(^5) is the data matrix for a triangle V in the plane with vertices (5, 0), (2, 2), and (4, 3).

A. Sketch a graph of V.

B. Give a 3 x 3 data matrix for V using homogeneous coordinates.

C. Give a 3 x 3 matrix which first reflects V through the line x 1 = x (^2) then moves the reflected triangle one unit horizontally and two units vertically.

D. Sketch the image of V under this transformation.