141Bquiz4c - 1 MATH 141B Quiz#4 Date: Mon Feb 12, 2008...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: 1 MATH 141B Quiz#4 Date: Mon Feb 12, 2008 Instructor: Dr. Fabbri [ 2 ] 1. Consider the matrix A = bracketleftbigg- 3 2 1- 4 bracketrightbigg . Which of the following 3 statements are true? i) A has characteristic equation r 2- 7 r + 10 = 0 . ii) A has two distinct eigenvalues. iii) v = bracketleftbigg- 1 1 bracketrightbigg is an eigenvector with eigenvalue- 5 . A) i) and ii) only, B) i) and iii) only, C) ii) and iii) only, D) i) only, E) all true [ 2 ] 2. Consider the matrix A = 3- 2 2 1- 2 0 3 . Which of the following 3 statements are true? i) A has three distinct positive eigenvalues. ii) The largest eigenvalue of A is r = 2 . iii) v = - 3 1 3 is an eigenvector corresponding to the largest eigenvalue. A) i) and ii) only, B) i) and iii) only, C) ii) and iii) only, D) i) only, E) all true 2 [ 2 ] 3. Suppose that a matrix A has eigenvalues r 1 = 5 and r 2 = 1 with corresponding eigenvectors v 1 = bracketleftbigg- 1 3 bracketrightbigg and v 2 = bracketleftbigg...
View Full Document

Page1 / 2

141Bquiz4c - 1 MATH 141B Quiz#4 Date: Mon Feb 12, 2008...

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