{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW10Math211S11 - B a basis for V Prove that the coordinate...

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

View Full Document Right Arrow Icon
Math 211: Linear Algebra Homework 10 Due May 13 Part I Read Sections 4.1, 4.2, and 4.3 in Leon, and do the following problems: (1) 4.1: 1ac, 6, 7cd, 9ab, 17bc, 19b, 22 (2) 4.2: 2a, 4c, 5d, 14a (3) 4.3: 2, 4, 5 Be sure to provide complete justification in grammatically correct English sentences for both Part I and Part II. Please remember to write Part II on a separate paper than Part I. Part II (1) 4.1: 13, 16, 21 (2) Let V be an n -dimensional vector space and
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: B a basis for V . Prove that the coordinate mapping v-→ [ v ] B from V to R n is a linear transformation. (*) Bonus: Refer back to problems 21 and 22 in 4.1 for the definitions of one-to-one and onto linear transformations. If V is an n-dimensional vector space, prove that the coordinate mapping from V to R n is both one-to-one and onto. (3) 4.2: 20 (*) Bonus: 4.2: 19 1...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online