So I have what I think is going to be a silly matrix algebra question.(adsbygoogle = window.adsbygoogle || []).push({});

I'm performing a linear regression, using standard matrix algebra:

Y = XA (all are matrices)

I have found my coefficients (A) and now I wish to use that information to get X as a function of Y.

If this were a normal algebraic equation, I'd have X = Y/A, but that doesn't make sense in matrix-land.

I've tried: Y * A' * inv(A * A') = X, but that doesn't give me numbers which make any sense.

Can anyone help me clear this up? I'm sure it's not too difficult... thanks!!

EDIT: I suppose it might be useful to give some matrix dimensions, but I think the algebra should be the same no matter what... A = (10x144), X = (1x10), Y = (1x144)

**Physics Forums - The Fusion of Science and Community**

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!

# Silly Matrix Algebra/Regression Question

Loading...

Similar Threads - Silly Matrix Algebra | Date |
---|---|

I Getting a matrix into row-echelon form, with zero-value pivots | Feb 17, 2018 |

I Orthogonal matrix construction | Feb 13, 2018 |

Possibly silly linear algebra question | May 19, 2014 |

Silly question about matrices with matrix elements | Jul 8, 2010 |

Silly question, could use some assistance | Feb 27, 2009 |

**Physics Forums - The Fusion of Science and Community**