This article develops some general theory for testing the rank of a matrix. Applications include tests of interaction in two-factor experiments that are more powerful than the usual F test for certain ...

This is a preview. Log in through your library . Abstract Let L be a free Lie algebra over an arbitrary field K, and let $\{x_1, \ldots, x_n, \ldots \}, n \geq 2$, be a free basis of L. We define the ...

Over the last few issues, we've been talking about the math entity called a matrix. I've given examples of how matrices are useful and how matrix algebra can simplify complicated problems. A messy ...

Linear algebra is rarely described as popular, but rarely does a mathematician portray it in a different, illuminating light. That is certainly one reason Gilbert Strang’s linear algebra lectures are ...