I A wonderful flow chart for taxonomy of matrices

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This flow chart is a fantastic visual representation of the taxonomy of matrices. It clearly outlines the different types of matrices and their relationships to each other, making it easier to understand and navigate the complex world of matrices.

The chart starts with the basic division of matrices into real and complex, and then further breaks them down into subcategories such as symmetric, skew-symmetric, and Hermitian matrices. It also includes important concepts such as diagonal and triangular matrices, as well as specific types like identity and zero matrices.

One of the most useful aspects of this flow chart is the inclusion of examples for each type of matrix. This not only helps to solidify understanding, but also serves as a helpful reference for future use.

Overall, this taxonomy of matrices flow chart is a valuable resource for anyone studying or working with matrices. It provides a clear and organized framework for understanding the different types of matrices and their properties. Thank you for sharing this helpful tool.
 

Thread 'The colorful world of ##2\times 2## complex matrices'

The world of 2\times 2 complex matrices is very colorful. They form a Banach-algebra, they act on spinors, they contain the quaternions, SU(2), su(2), SL(2,\mathbb C), sl(2,\mathbb C). Furthermore, with the determinant as Euclidean or pseudo-Euclidean norm, isu(2) is a 3-dimensional Euclidean space, \mathbb RI\oplus isu(2) is a Minkowski space with signature (1,3), i\mathbb RI\oplus su(2) is a Minkowski space with signature (3,1), SU(2) is the double cover of SO(3), sl(2,\mathbb C) is the...
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