Let A_i (i=1,...,k) be a nonsingular complex matrix which size is M by M.(adsbygoogle = window.adsbygoogle || []).push({});

The question is how to find a complex matrix X which size is M by N such that:

span(A_1*X)=...=span(A_k*X)

(I guess that there must be relations between M,N and k when nontrival solution exists. )

ask:

1)if non trival solwhat's the condition for the existence of nontrival solutions?

2)Is there any method or related references for this question?

Thanks in advance:)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Column subspace problem

Loading...

Similar Threads for Column subspace problem |
---|

I Coin Sum Problem |

A Badly Scaled Problem |

I How to find admissible functions for a domain? |

Least Square basic problem |

I Affine Subspace |

**Physics Forums | Science Articles, Homework Help, Discussion**