# 341hw8 - 4a 1 1 1 1 1 0 2 5-11 42 0 0-1 8 37 0 0 3 99 7 7 7...

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

Homework 8, due Friday October 28th , in class 1. Find the inverse of the matrix 1 2 3 2 5 10 1 4 12 . 2a. Find the inverse of - x 1 0 0 1 - x 0 0 0 0 - x 1 0 0 1 - x (the algebra will be a little messy, but it won’t take very many steps). Your answer will of course involve x . 2b. For what values of x is your answer in 2a undeﬁned? 3. Deﬁne A = 1 - 1 1 - 1 1 - 1 4 2 0 0 2 5 . 3a. Determine the null space of the matrix A . 3b. Are the columns of A linearly independent? 4. Using appropriate shortcuts, ﬁnd the determinant of each of the following matrices using as little computation as possible.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 4a. 1 1 1 1 1 0 2 5-11 42 0 0-1 8 37 0 0 3 99 7 7 7 7 9 . 1 4b. 3-8 12 7-9 2 1-5 17 40 8 6-1 9 112 3-8 12 7-9 11 13 71-4 12 5. Given the vectors v 1 = 1 1 2 and v 2 = 1-1 in R 3 , ﬁnd a vector v 3 such that { v 1 , v 2 , v 3 } is a basis for R 3 . (There may be many possible correct answers. Make sure you justify your answer appropriately.) 2...
View Full Document

## This note was uploaded on 12/07/2011 for the course MATH 341 taught by Professor Zhang during the Fall '08 term at University of Delaware.

### Page1 / 2

341hw8 - 4a 1 1 1 1 1 0 2 5-11 42 0 0-1 8 37 0 0 3 99 7 7 7...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online