(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let L(x) be the Linear operator in R^2 defined by

L(x) = (x1 cos a - x2 sin a, x1 sin a + x2 cos a)^T

Express x1, x2 & L(x) in terms of Polar coordinates.

Describe geometrically the effects of the L.T.

2. Relevant equations

Well I know that:

a = tan^-1 (x2 / x1)

r = (x1^2 + x2^2)^1/2

where a is the angle in both cases

3. The attempt at a solution

I know x1 & x2 in terms of polar coordinates is

x1 = r cos a

x2 = r sin a

But Im not sure about L(x)... cos a & sin a stay the same in both coord?

Thanks

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# Homework Help: Linear Transformation in terms of Polar Coord.

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