CS205A midterm1_practice2

Scientific Computing

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
CS205 Sample Midterm #1 Multiple choice questions [8 × 1pt=8pts] 1. The eigenvalues of the Householder matrix I - 2 vv T v T v are ... [circle the best answer] (a) All equal to 1 (b) 1 and 0 (c) 1 and - 1 (d) 1 and - 2 2. Consider an n × n positive definite matrix A . Which of the following statements are always true about A ? [circle all that apply] (a) A can be Cholesky factorized (b) A has only positive eigenvalues (c) A has n distinct eigenvalues (d) A is invertible 3. We often prefer to use an iterative rather than a direct method for solving a linear system because ... [circle all that apply] (a) They can exploit the sparsity of a matrix better than direct methods do (b) They can be used for any matrix and their computational cost is at most the same as direct methods (c) They converge very fast for specific classes of matrices, especially with preconditioning (d) Direct methods provide a single result with no potential for im- provement while with iterative methods we can keep improving our approximation to the solution by continued iteration
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This homework help was uploaded on 01/29/2008 for the course CS 205A taught by Professor Fedkiw during the Fall '07 term at Stanford.

Page1 / 4

CS205A midterm1_practice2 - CS205 Sample Midterm #1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online