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by: Braeden Lind

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# Introduction to Linear Algebra MA 405

Marketplace > North Carolina State University > Mathematics (M) > MA 405 > Introduction to Linear Algebra
Braeden Lind
NCS
GPA 3.93

R. Ramsay

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COURSE
PROF.
R. Ramsay
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Braeden Lind on Thursday October 15, 2015. The Class Notes belongs to MA 405 at North Carolina State University taught by R. Ramsay in Fall. Since its upload, it has received 23 views. For similar materials see /class/223682/ma-405-north-carolina-state-university in Mathematics (M) at North Carolina State University.

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Date Created: 10/15/15
MA 405 Chapter 6 Drill Exercises Answers other answers in Textbook Section 61 2 HA is atriangular matrix then so is A 7 AI so detA 7 AI an 7 Aa22 7 A am 7 A That is the eigenvalues of A are its diagonal elements 3 A O is an eigenvalue ofA gt detA 7 0 detA O gt A is singular 4 If A is nonsingular and A is an eigenvalue of A then A 3E O by 3 above This implies that x A le AA lx so A lx 1Ax Section63 1 2 1 2 0 0 1 2 53 1 d AXDX 1 0 71 73 0 1 0 0 71 71 0 3 0 0 71 0 0 13 64 126 105 2 d A6XD6X 1 0 1 0 0 0 1 12 71 732 3 d A 1XD 1X 17 0 1 2 0 0 71 1 1 71 9 0 0 1 71 0 3 0 0 4 b AXDX 1 0 1 71 0 4 0 0 1 1 LetDlZ 0 2 0 and 0 0 1 0 0 1 0 0 1 0 0 1 l H H 3 BXD12X 1 0 2 1 ThenBZ A 1 9 HA 7 A has rank 1 then dim NA 7 AI 4 7 1 3 so A has multiplicity 3 and A is not defective

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