For each linear transformation T: Rn Rm given in Problems a to c. compute the image under

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For each linear transformation T: Rn †’ Rm given in Problems a to c. compute the image under T of . and find the vector(s) if any, that are mapped to .
a. T(x, y) = (y, -x).
For each linear transformation T: Rn †’ Rm given in

b. T(x, y) = (x + y, x).

For each linear transformation T: Rn †’ Rm given in

c. T(x, y, z) = (x, y + z).

For each linear transformation T: Rn †’ Rm given in
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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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