sample_tt2_2

sample_tt2_2 - Math 136 Sample Term Test 2 # 2 NOTES: - In...

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: Math 136 Sample Term Test 2 # 2 NOTES: - In addition to these questions you should also do questions 7, 10 b from sample term test 1 # 2. 1. Short Answer Problems a) Let S = { v 1 ,...,v n } be a non-empty subset of a vector space V . Define the statement S is linearly independent. b) Write the definition of a subspace S of a vector space V . c) Write the definition of the dimension of a vector space V . d) Prove that 0 x = for any x V . e) Is it true that if a set S with more than one vector is linearly dependent then every vector v S can be written as a linear combination of the other vectors. Justify your answer. 2. Let = { x 2- 4 x + 4 ,x- 2 , 1 } . a) Show that span( ) = P 2 . b) Let w = x 2 + x + 1. Find the coordinate vector of w . 3. Determine, with proof, which of the following are subspaces of the given vector space. a) S = { ax 2 + bx + c | b 2- 4 ac 6 = 0 } of P 2 ....
View Full Document

Page1 / 2

sample_tt2_2 - Math 136 Sample Term Test 2 # 2 NOTES: - In...

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