# Questions tagged [linear-algebra]

For questions about vector spaces of all dimensions and linear transformations between them, including systems of linear equations, bases, dimensions, subspaces, matrices, determinants, traces, eigenvalues and eigenvectors, diagonalization, Jordan forms, etc. For questions specifically concerning matrices, use the (matrices) tag. For questions specifically concerning matrix equations, use the (matrix-equations) tag.

26,337 questions with no upvoted or accepted answers
Filter by
Sorted by
Tagged with
18k views

• 3,157
414 views

### Questions on color theory, expressed in linear algebra

I'm reading into color theory and there were a few questions which I asked myself along the way, maybe you can put me forward to some source where I can find answers or give them directly. The ...
• 2,740
534 views

### How can I construct a solution for this system of many inequalities?

Let there be types $\omega\in\{0,1\}^n$ drawn according to some probability distribution. Suppose that these types are relayed through some imperfect message service. Specifically, any type $\omega$'s ...
• 255
400 views

### Finding a minimal set of equations that determine a variable.

I have a system of $m$ linear equations on $n$ variables, which I'm representing as $Ax=b$, with $A$ an $m\times n$ matrix representing the equations and $b$ an $\mathbb R^m$ vector representing the ...
• 13.4k
244 views

• 23.1k
175 views

• 15.8k
770 views

### Generalisation of prime numbers to matrices?

Is it possible to generalise prime numbers to matrices? I'm trying to solve a Rubix cube in the minimum number of steps and I think this would be useful. I think it's possible to represent Rubix cube ...
• 453
663 views

### Is there a name for the group of real matrices whose determinant is an element of $\pm 1$?

The group of matrices whose determinant is non-zero is called the "general linear group", and the group of matrices whose determinant is $1$ is called the "special linear group". In between these two ...
• 65.1k