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How do you identify the axis's of a matrix​

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Answer: The simplest way to find the rotation angle is to take the trace of the matrix, the sum of the diagonal elements.

Step-by-step explanation: step 1 Show that the determinant is 1. Matrices with determinant -1 are reflections no rotations.

step 2 Find the eigenvalues. The three eigenvalues of the matrix are 1,e−iθ, where θ is the angle of rotation.

step 3 find the eigenvector for the eigenvalue 1. This is the axis of rotation.

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