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Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.

2 votes
3 answers
1k views

How to characterize real square matrices A, such that v'Av >= 0, for all real vectors v with...

However, while there are a number of ways to characterize positive semidefinite matrices, for example, see this Wikipedia page, how can I characterize the above defined matrices? …
daizhuo's user avatar
  • 117
2 votes
2 answers
28k views

How to write Matlab's dot operators in mathematical expressions?

Matlab has a set of dot operators, such as .*, ./, .^. Each of these operators consists of a dot and a normal algebraic operator. They perform element-wise algebraic operations on a matrix. For exampl …
daizhuo's user avatar
  • 117
4 votes
1 answer
907 views

For what values of $k$ is matrix $k A - B$ positive semidefinite?

Suppose $A$ and $B$ are two $n \times n$ real symmetric matrices, and $A$ is positive semidefinite. …
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  • 117