09-08-10 - Math 54 Discussion Section Problems Mike...

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

View Full Document Right Arrow Icon
Math 54 Discussion Section Problems Mike Hartglass September 8, 2010 You should work on the following problems in groups of 3 or 4. Try to get through as many as you can, but you aren’t expected to finish everything. In fact, the answers are largely unimportant; making sure everyone in your group knows how to solve all the problems is what really matters. 1.) Determine if the following sets of vectors are linearly independent or linearly dependent. { (3 , 1 , - 5); (3 , 2 , 4) } { (1 , 2 , 0); (4 , 4 , 3); (0 , 0 , 0) } { (1 , - 1 , 2); (1 , 0 , 1); (3 , - 1 , 4) } 2.) Determine if the following statements about span and linear independence are true or false. If true, prove it and if false, give a concrete counterexample. a. ) If { -→ v 1 , -→ v 2 , -→ v 3 , -→ v 4 } is linearly independent then { -→ v 1 , -→ v 2 , -→ v 3 } is linearly independent. b. ) If { -→ v 1 , -→ v 2 , -→ v 3 , -→ v 4 } is linearly dependent in then { -→ v 1 , -→ v 2 , -→ v 3 } is linearly dependent. c.
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.

Page1 / 2

09-08-10 - Math 54 Discussion Section Problems Mike...

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