Why is this always the case...(adsbygoogle = window.adsbygoogle || []).push({});

A=[itex]\begin{array}{cc}

1 & 6 \\

4 & 3 \\

\end{array}[/itex]

[itex]λ_{1}[/itex]=7

[itex]λ_{2}[/itex]=-3

A=[itex]\begin{array}{cc}

1-7 & 6 \\

4 & 3-7 \\

\end{array}[/itex]

A=[itex]\begin{array}{cc}

-6 & 6 \\

4 & -4 \\

\end{array}[/itex]

Why is [itex]A_{11}[/itex] and [itex]A_{12}[/itex]

always a multiple of

[itex]A_{21}[/itex] and [itex]A_{22}[/itex]?

Is this a feature of Eigenvalues or is this done on purpose to make solving the eigenvectors easier?

**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!

# Why is this always the case A=[itex]\begin{array}{cc}1 & 6

Loading...

Similar Threads - always case itex | Date |
---|---|

B Why does a matrix diagonalise in this case? | Nov 21, 2017 |

I Is a symmetric matrix with positive eigenvalues always real? | Jan 26, 2017 |

Number Theory: Why always elementary proofs? | Feb 1, 2014 |

Does Z*(n) always have a generator? | Feb 8, 2013 |

Does n*a ALWAYS mean to a + a + + a (n times) where + is the group operation? | Oct 15, 2012 |

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