Symmetric matrices identical to the identity except at two diagonal and two off-diagonal positionscause this transformation; those matrices are named for Givens and see use in Jacobi's algorithm foreigenvalues. In the complex plane, this transformation can be achieved by the action of members ofthe unitary group of degree 1, or by multiplication by complex (*) exponentials. Axial vectors pick up aminus sign under the composition of one of these transformations with a reflection. In two dimensions,multiplication by a matrix consisting of cosines and sines corresponds to this transformation. For 10points, identify this type of transformation that moves a body through a fixed angle.
Symmetric matrices identical to the identity except at two diagonal and two off-diagonal positionscause this transformation; those matrices are named for Givens and see use in Jacobi's algorithm foreigenvalues. In the complex plane, this transformation can be achieved by the action of members ofthe unitary group of degree 1, or by multiplication by complex (*) exponentials. Axial vectors pick up aminus sign under the composition of one of these transformations with a reflection. In two dimensions,multiplication by a matrix consisting of cosines and sines corresponds to this transformation. For 10points, identify this type of transformation that moves a body through a fixed angle.
Symmetric matrices identical to the identity except at two diagonal and two off-diagonal positionscause this transformation; those matrices are named for Givens and see use in Jacobi's algorithm foreigenvalues.
 rotation