Hey all!(adsbygoogle = window.adsbygoogle || []).push({});

I am working on this and got confused. Any help at all would be much appreciated!

Determine the kernel and range of the transformation T and find a basis for each: T(x,y,z)=(x,y,z) from R3 to R2.

I have found the kernel to be the set {(r, -r, 0)}.

Range is R2.

I"m not sure how to find the basis. Any ideas? I think the range is right but not sure.

Thanks guys!!

**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!

# Kernel, Range, Basis (linear algebra)

Loading...

Similar Threads - Kernel Range Basis | Date |
---|---|

I Finding the Kernel of a Matrix Map | Sep 15, 2017 |

I Does this theorem need that Ker{F}=0? | May 1, 2017 |

Understanding proof for theorem about dimension of kernel | Oct 27, 2015 |

Kernel and range | Oct 3, 2012 |

Linear Transformations,Find basis of kernel and range | Nov 4, 2010 |

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