For problems 1 to 3 Let T: R2 R2 be the linear transformation given by T( )
Question:
1. verify that
and explain why this means that the x-axis is mapped onto itself.
2. Verify that
and explain why this means that the y-axis is mapped onto the line y = x/2.
3. Verify that
and use this fact to give a geometric interpretation of the mapping.
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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