Example 1: Cayley-Hamilton theorem. Consider the matrix. A = 1, 1. 2, 1. Its characteristic polynomial is. p() = det (A – I) = 1 -, 1, = (1 -)2 – 2 = 2 – 2 – 1. 2, 1 -. Cayley-Hamilton Examples. The Cayley Hamilton Theorem states that a square n × n matrix A satisfies its own characteristic equation. Thus, we. In linear algebra, the Cayley–Hamilton theorem states that every square matrix over a As a concrete example, let. A = (1 2 3 .. 1 + x2, and B3(x1, x2, x3) = x 3.

Author: | Kajile Nisar |

Country: | Fiji |

Language: | English (Spanish) |

Genre: | Marketing |

Published (Last): | 4 December 2011 |

Pages: | 369 |

PDF File Size: | 6.37 Mb |

ePub File Size: | 12.16 Mb |

ISBN: | 755-5-11835-361-1 |

Downloads: | 61373 |

Price: | Free* [*Free Regsitration Required] |

Uploader: | Maukasa |

If so, prove it. If not, give a counter example.

### Cayley-Hamilton theorem – Problems in Mathematics

The list of linear algebra problems is available here. Enter your email address to subscribe to this blog and receive notifications of new posts by email.

Application of Field Extension to Linear Combination. Read solution Click here if solved 51 Add to solve later.

Read solution Click here if solved 18 Add to solve later. Read solution Click here if solved 66 Add to solve later.

Read solution Click here if solved 45 Add to solve later. Read solution Click here if solved Add to solve later.

Read solution Click here if solved 21 Add to solve later. Read solution Click here if solved 9 Add to solve later. Read solution Click here if solved 25 Add to solve later.

## Cayley–Hamilton Theorem

Read solution Click here if solved 13 Add to solve later. Read solution Click here if solved 24 Add to solve later. Linear Algebra Problems by Topics The list of linear algebra problems is available here.

Subscribe to Blog via Email Enter your email address exapmle subscribe to this blog and receive notifications of new posts by email. MathJax Mathematical equations are created by MathJax.

### Cayley–Hamilton theorem – Wikipedia

Compute the Determinant of a Magic Square. Top Posts How to Diagonalize a Matrix.

Step by Step Explanation.