So a question on my linear algebra homework asks for the dimensions of Nul(A) and Col(A).(adsbygoogle = window.adsbygoogle || []).push({});

Let A =

\begin{pmatrix}

-4 & -3\\

-1 &4\\

-3& -7

\end{pmatrix}

I row reduced the above matrix to

\begin{pmatrix}

1 & 0\\

0 & 1\\

\end{pmatrix}

Now, the T.A. for my section told us that to find the dimension of Nul(A) you look at the number of free variables in Nul(A). There are no free variables, so the dimension of Nul(A) is 0? What does this mean? I think I may be a little confused on what it means to find the dimension of a space. Why should the number of free variables in the null space tell you anything about the dimension of the null space?

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

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

# Zero Dimensional Null Space (What's the meaning of this?)

Loading...

Similar Threads - Zero Dimensional Null | Date |
---|---|

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

I N-Dimensional Real Division Algebras | Nov 22, 2016 |

I Coordinate transformation of a vector of magnitude zero | Sep 6, 2016 |

B Zero eigenvalue and null space | Mar 8, 2016 |

If A is triangular and no entry on the main diagonal is zero | May 1, 2015 |

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