Question: 1. Is every self-adjoint linear operator a normal operator? 2. Which row operations are normal operators? 3. If a row operation is not a normal

1. Is every self-adjoint linear operator a normal operator? 2. Which row operations are normal operators? 3. If a row operation is not a normal operator, given an example of such an operator and find a vector u such that | |Aul|2 does not equal ||A ul|2. 0 - a 4. Find the null space and range of the matrix 0 a . Next, find the null space and range of the matrix 0 5. For every complex number, zz" = z"z. Is it also true that given a complex number z, then for all other complex numbers w, (zw| = (z w|

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