tut7 - M (2 , 2) that includes 1 2 3 4 , 4 3 2 1 . 4: Let V...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 136 Tutorial 7 Problems 1: a) Verify that B = { (1 , 0 , 1) , (1 , - 1 , 2) , ( - 1 , - 1 , 1) } is a basis for R 3 . b) If [ ~v ] B = 1 2 3 , what is ~v ? c) Determine the coordinates of ~x = (1 , 1 , 1) and ~ y = (4 , - 2 , 7) with respect to B . 2: Find a basis and determine the dimension of S = span { x 2 + 2 x + 1 , 2 x 2 + 3 x - 2 , - x 2 + 7 , 2 x 2 + 2 x + 1 } . 3: Find a basis of
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: M (2 , 2) that includes 1 2 3 4 , 4 3 2 1 . 4: Let V be a vector space with basis B = { ~v 1 , . . . ,~v n } and let ~x,~ y V and a, b R . Prove that [ a~x + b~ y ] B = a [ ~x ] B + b [ ~ y ] B . 1...
View Full Document

Ask a homework question - tutors are online