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