Consider the two-dimensional coordinate transformation shown in Fig. 1.8. Through the counterclockwise rotation q, a new polar

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Consider the two-dimensional coordinate transformation shown in Fig. 1.8. Through the counterclockwise rotation q, a new polar coordinate system is created. Show that the transformation matrix for this case is given by:

Fig 1.8

2 X2 e g  r X

[b b Qij cos sin -sin cos 0 a11 a21 If bi ,aij = a12 a22. x system, calculate their components in the rotated

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