1 Show How The Linear Transformation T Transforms The Components Of A Vector U 2 Show How The Linear Transformation T 1 (23.07 KiB) Viewed 67 times
1 Show How The Linear Transformation T Transforms The Components Of A Vector U 2 Show How The Linear Transformation T 2 (23.07 KiB) Viewed 67 times
1. Show how the linear transformation T transforms the components of a vector u. 2. Show how the linear transformation T transforms the matrix elements of the linear operator A. 3. Find the rotation matrix R in terms of Euler angles (0,3,7). 4. Prove that if A is a Hermitian matrix, its eigenvalues are real. 5. Show that if A is a unitary matrix, the absolute values of its eigenvalues are equal to 1. In addition, show that if A is also symmetric, we can choose the eigenvectors as real. 6. Consider the following matrix 0-1 (1) :ܕܐ 1 0 V2 0 -1 0 0 1 1- show that Jy is hermitian. 2- Find the eigenvalues 3- Find the eigenvectors.
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