Math 210-01: Linear Algebra: Reading Homework 8.5
- Unitary and Hermitian Matrices : what types of matrices do unitary and Hermitian matrices correspond to?
- Conjugate Transpose : what is the conjugate transpose?
- properties : how is the conjugate transpose written? what properties does it have?
- Unitary matrices : what is a unitary matrix? how is this similar to orthogonal matrices?
- properties of unitary matrices : what can we say about the columns of a unitary matrix? how is this similar to orthogonal matrices?
- Hermitian matrices : what is a Hermitian matrix? how is this similar to symmetric matrices?
- properties : what characteristics must a Hermitian matrix have?
- eigenvalues : what is true about the eigenvalues of a Hermitian matrix?
- eigensystems : how do we find the eigenvalues and eigenvectors of a comples matrix?
- Diagonalization : what is the complex-valued equivalent to orthogonal diagonalization for real-valued matrices? what types of matrices fall in this category?
- normalization : how do we normalize the column vectors in a complex matrix?
- normal matrices : are there other matrices that are unitarily diagonalizable?
- Hermitian and Symmetric Matrices : summarize the properties of symmetric and Hermitian matrices, their similarities and differences
Math 210-01: Linear Algebra: Reading Homework 8.5
Last Modified: Wed May 5 07:58:54 1999
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