This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: SAMPLE FINAL EXAM MATH 54 SEC.1, FALL 2009 90 POINTS, 180 MINUTES Question 1, 18 pts True or false? No justification necessary. Correct answers carry 1 . 5 points, incorrect answers carry 1 . 5 points penalty. However, you will not receive a negative total score on any group of 6 questions. T F If an augmented matrix [ A b ] is transformed into [ C d ] by elementary row operations, then the systems a x = b and C x = d have exactly the same solution sets. T F If { u , v , w } is linearly independent, then u , v and w are not in R 2 . T F For any matrix A , det( A ) = det( A ). T F For any square matrix A , det( A T A ) 0. T F If u and v are in R 2 and det[ u v ] = 10, then the area of the triangle in the plane with vertices at , u and v is 10. T F If two row exchanges are made in succession, then the new determinant equals the old determinant. T F If + 5 is a factor of the characteristic polynomial of A , then 5 is an eigenvalue of A . T F Eigenvalues of a matrix must be nonzero scalars....
View Full
Document
 Fall '08
 Chorin
 Math

Click to edit the document details