Exam2A900 - M340L EXAM 2A 9:00 FALL 2009 Dr Schurle Your...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
M340L EXAM 2A 9:00 FALL, 2009 Dr. Schurle Your name: Your UTEID: Show all your work on these pages. Be organized and neat. Your work should be your own; there should be no talking, reading notes, checking laptops, using cellphones, . . . . 1. (10 points) Suppose that v 1 , v 2 , v 3 are vectors in a vector space V . Explain in detail why Span { v 1 , v 2 , v 3 } is a subspace of V .
Background image of page 1

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

View Full Document Right Arrow Icon
YOUR SCORE: /100 2. (10 points) Let H be the set of all x y z such that z = 2 x - 3 y . Is H a subspace of R 3 ? Justify your answer. 3. (12 points) Suppose the rank of a 15 × 19 matrix A is 12. The smallest number of vectors needed to span Col A is . The largest number of linearly independent vectors in Nul A is . The row space of A is a subspace of R q when q = . Does A x = b have a solution for every b in R 15 , yes or no?
Background image of page 2
4. (12 points) The matrix A = 2 1 9 20 0 6 1 1 7 14 4 8 0 - 2 - 10 - 16 4 0 - 2 1 1 - 4 0 - 2 1 - 2 - 8 - 10 0 - 2 is row equivalent to the
Background image of page 3

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

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 6

Exam2A900 - M340L EXAM 2A 9:00 FALL 2009 Dr Schurle Your...

This preview shows document pages 1 - 4. Sign up to view the full document.

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