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[C] = e¯*[ê] = [13x3] cos(Þ) − sin(Þ) [ĕ] + (1 − cos(Þ))êê™ [C] = e−[e] = - Σ)-D" n=0 - -[v] = −[ĕ] -

[C] = e¯*[ê] = [13x3] cos(Þ) − sin(Þ) [ĕ] + (1 − cos(Þ))êê™ [C] = e−[e] = - Σ)-D" n=0 - -[v] = −[ĕ] -

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Using Taylor series and the sum equation verify that the exponential matrix mapping does have the finite form given in the below equation.

 

[C] = e¯*[ê] = [13x3] cos(Þ) − sin(Þ) [ĕ] + (1 − cos(Þ))êê™ [C] = e−[e] = - Σ)-D" n=0 - -[v] = −[ĕ] -
Transcribed Image Text:[C] = e¯*[ê] = [13x3] cos(Þ) − sin(Þ) [ĕ] + (1 − cos(Þ))êê™ [C] = e−[e] = - Σ)-D" n=0 - -[v] = −[ĕ] -
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