Consider the matrix [A=left(begin{array}{ccc} frac{1}{2} & frac{1}{sqrt{2}} & frac{1}{2} -frac{1}{sqrt{2}} & 0 & frac{1}{sqrt{2}} frac{1}{2}
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Consider the matrix
\[A=\left(\begin{array}{ccc} \frac{1}{2} & \frac{1}{\sqrt{2}} & \frac{1}{2} \\ -\frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\ \frac{1}{2} & -\frac{1}{\sqrt{2}} & \frac{1}{2} \end{array}\right)\]
a. Verify that this is a rotation matrix.
b. Find the angle and axis of rotation.
c. Determine the corresponding similarity transformation using the results from part \(b\).
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Related Book For
A Course In Mathematical Methods For Physicists
ISBN: 9781138442085
1st Edition
Authors: Russell L Herman
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