**Math 307 A1: Final exam preparation**

**May 6, Thursday 9:45-11:45a.m. at 294 Carver
hall**

**The Math 307 A1
Help Session has been scheduled to
Carver 184
on 5/5/04 from 3-4 pm.**

Section |
Objectives |
Problems |

5.2 |
The Grad-Schmidt Process | 3, 7, 13, 32, 33 |

5.3 |
Orthogonal transformation, orthonormal bases, transpose,orthogonal matrices, the matrix of an orthogonal projection | 11, 20, 21,40 |

6.1 |
Sarrus' rule for finding the determinant of a 3 by 3 matrix | 3,5, 23, 25, 41 |

6.2 |
Properties of determinants, Minors, Using Gauss-Jordan elimination and Laplace expansion to find determinants | 1,5,7,9,13, 16, 23, 31, 32 |

6.3 |
The determinant as area and volume,Cramer's rule, the classical adjoint matrix of a given square matrix A, using adjoint matrix to find the inverse of A | 1, 7, 23, 25 |

7.2 |
Characteristic polynomial, eigenvalues | 1, 5, 9, 11, 13, 15, 17 |

7.3 |
Eigenvectors, eigenbasis, eigenspaces, algebraic and geometric multiplicities of an eigenvalue, eigenvalues of similar matrices, | 1, 7, 9, 13, 15, 21, 27, 35 |

7.4 |
diagonlizable matrices, diagonalization | 1, 5, 9 |