T: M(adsbygoogle = window.adsbygoogle || []).push({}); _{nn}=> R, where T(A) = tr(A)

Attempt:

1) T(kA) = tr(kA) = k tr(A) = k T(A)

2) T(A+B) = tr (A + B) = tr(A) + tr(B) = T(A) + T(B)

so it's linear transformation. Am I correct?

**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!

# Determine whether the function is a linear transformation (Attempt inside)

Loading...

Similar Threads for Determine whether function |
---|

A Infinite matrices and the Trace function |

I How to find admissible functions for a domain? |

I Is there a geometric interpretation of orthogonal functions? |

B Why the hate on determinants? |

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