THE MANGA GUIDE TO comics LINEAR ALGEBRA SHIN TAKAHASHI TREND- PRO "2, LTD. PRAISE FOR THE MANGA SUIDE SERIES “Hopi ecrmende” "Seimuls forthe next generation of scietiss “A grat fof form and subj. Recommend” “The arts charming and the humor engaging fun anda piles lesson on what rng consider te be lse-than hring sc.” “This sly what goed math ts should be a Unie the maj of bk on subjects ike satitis, tds ust prevent the material ab ay sees of poriess= ‘eoming fori. Irons atte a arthing fn, ane arating ening” “fond the cartoon appreach ofthis books compating and ts trys ancsaring tet recommend that ey teacher fred physics in bth igh shel ae colegs conser using t” “The saris is constantly gos. grt way to inrouce isto tie wonder an vasa of he cores” “Asngl tortured ry wil weap he ie vey they Sometng ier major who ses The Manga Gude to Mojecalr Blog. Wy ch why col ths ave been tn en ws in clge™ “Scaife slit. antraningy bare "Wn of ono rand, The intractonsbatre the char= crs ae lghtheartad ar te whole seting has a sort of erties about tht makes you hep react fer they afi “The Monga Guido Ostbazes was the mest ene ach ook ve ver ead” The Mang Gules dental havea place on my bookshlt” eros “sune SCONCE “For parents ying to give ther ks an edge or just for is wih curiosity abou their decors, The Manga Guile Eketricty shoud defintely be on thi bookshelves" “Thisis a oid booand| we there were more ike tin he IT wor” “The Mange Guide to Eectrcty mates accesso avery itiridating subject ating he reader have an whe sil ebverig the goods.” “yu watt invoducea subject that is woul normaly Bevery interested in, vei anamsing stryine and wap tn cartoons” "A clever bend that rakes relativity easier t thnk about—evenf yale no Einstein” “This book des cy whats supeesd te: ofr aun reestng way ear cles concepts tat weld ethers be exremel band o meronze” “Te arti fantastic andthe sachin metod is both fun an etucatonal” “hawt fr iy eduationa read” “Malas it posse for a10-yar-ol to devo a doer working know fa subject, that sends mest colog students runing rte ils" “This books athe est ook! have read on th subject thnk ths ook abso rock and ecormend itt anyone working wth oust nrestd in abases" “The bok purposeful departs rma ditona physics tetock ani it oes it very we “Wis wel be. think much moray to actualy pick tis up and fi uti hey are Interested in tai sapped ta a reglar took” THE MANGA GUIDE™ TO LINEAR ALGEBRA THE MANGA GUIDE” TO LINEAR ALGEBRA a @ : ‘THE MANGA GUIDE TO LNEAR ALOEERA, (Copyright © 2012 by Shia Takahashi end TREND-PRO Co, ‘The Manga Guide to Linear Algebra ea translation ofthe Japanese orginal, Manga de waar ‘sonteatsu plished by Ohmsha 184 of Tokyo, Japan, ©2008 by Shin Takaheohi an TREND- PRO Co. Le. ‘This English eiton i o-publishe by No Starch Press, Inc and Ohunsa, Lid, ‘All vigets reserved Mo part ofthis mor may be reproduced or tranamlie in any form ory any tmeans, letroni or mechanical, Incuing photocopying, recording. or by any information Morage lrretrceal system, witout the prior writen permianion othe copyright owner aad the plier ies plating gnw-to:1.59097.419-0 ‘Pnllaner: Wii Pook ‘iusrator Toba Inoue Developmental Eaton Reith Fancher ‘Compostor: Rey Hott ‘Proleeter Paula Fleming Inderer DIM Indexing & Prootreading Services ‘or tnjormation on book distributors or tanalatons please contact No Starch Press, le irectiy: ‘Mo Gtareh Fre, ne 58 Ringold Strect. Sun Franciac, CA 91105 ‘ome 18.869,9500: ex 418.85, 9900; nfo@nosearc. com: itpdwwe.nostarch.com! Library of Congress Cataloging tx Publication Dat Takabash. hin, [Manga de wakarasenkeldiou. English ‘The manga gulde to linear algebra / Shin Takahashi, roa ine, Trend pro Co, Lid 527-413-9p0) = ISON 1.56027-49-0 (pk) ‘Otuer product sod company nines mentioned herein mary be Ue trademarto of thee reapestive Ove rs Rather than use atrademarc symbol wth cvery occurrence of trademarked name, we ae wing ‘te uamee cay i an eitorial fashion ead tothe Desoto the rademark owe, with 2 atention of Intrngement ofthe endemic, ‘Me ndrmation inthis book le dstibuted onan “As I" basa, without warranty, While every pee ‘cation hasbeen taken Inte preparation of thls wort neither te author nor No Starch Press ne Sa nate any abil to any peraoa or enlky with reapectLo aay lous or damage caused o alleged {be caueod lrecty or indirectly by the information cotalned ‘All characters in tis publication ee fictitious, and any resemblance to real persons, ring o ead, fs purely eolncdental. CONTENTS ‘Tanspose Mateiees Symmetric Matrices Upper Triangular and Lower Tvingular Matrices. Diagonal Mateices dently Matsices 4 MORE MATRICES. Geometric nterpreutions