The inverse of this may be found, as in the two-dimensional case, either by solving these three Equations for x, y and z (which would be rather tedious); or by interchanging the primed and...The inverse of this may be found, as in the two-dimensional case, either by solving these three Equations for x, y and z (which would be rather tedious); or by interchanging the primed and unprimed quantities and reversing the order and signs of all operations (replace ψ with −\phi, θ with −θ, and \phi with −ψ) which is less tedious; or by recognizing that the determinant of the matrix is unity and therefore its reciprocal is its transpose, which is hardly te…
