Im trying to figure out how to do this question. This is an example in the book i have. Im not sure how they got the answer.(adsbygoogle = window.adsbygoogle || []).push({});

Here is the example from the book:

Find the Transition Matrix P from the basis B={t+1, 2t, t-1} to B'={4t[tex]^{2}[/tex]-6t, 2t[tex]^{2}[/tex]-2, 4t} for the space R[t].

A little computataion shows that 4t[tex]^{2}[/tex]-6t:(-3, 2, -3), 2t[tex]^{2}[/tex]-2: (-1, 1, 1) and 4t:(2, 0, 2). Therefore

[tex]P=\left(\begin{array}{ccc}-3 & -1 & 2 \\ 2 & 1 & 0\\ -3 & 1 & 2\end{array}\right)[/tex]

I'd like to know how they found 4t[tex]^{2}[/tex]-6t to be(-3, 2, -3), 2t[tex]^{2}[/tex]-2 to be (-1, 1, 1) and 4t to be(2, 0, 2). Any help is apprectated.

**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!

# Transition Matrix

Loading...

Similar Threads for Transition Matrix |
---|

I Eigenproblem for non-normal matrix |

A Eigenvalues and matrix entries |

A Badly Scaled Problem |

I Adding a matrix and a scalar. |

B How does matrix non-commutivity relate to eigenvectors? |

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