Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

What is the exponential for the matrix

$$ \begin{pmatrix} 0 & -x & 0 \\ x & 0 & 0 \\ 0 & 0 & 0 \\ \end{pmatrix} $$

Is it $$ \begin{pmatrix} \cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1 \\ \end{pmatrix} $$

share|improve this question
    
A quick search would have answered your question for you. en.wikipedia.org/wiki/Matrix_exponential –  SyntacticSugar Oct 15 '13 at 3:59
    
@sarah: that is correct. –  Amzoti Oct 15 '13 at 4:25
add comment

1 Answer 1

Hint: Exponential of a matrix is defined using Taylor series, viz $$e^A=I+A+\frac12A^2+...=\sum_{n=1}\frac1{n!}A^n$$

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.