From 5de5fc8df759de9297d7c8e5b9495d79c8963fea Mon Sep 17 00:00:00 2001 From: Claudio Maggioni Date: Fri, 3 Apr 2020 00:09:45 +0200 Subject: [PATCH] wip midterm --- midterm/midterm.m | 50 ++++++++++++++++++++++++++++++++++++++++++++ midterm/midterm.pdf | Bin 122188 -> 8120 bytes 2 files changed, 50 insertions(+) create mode 100644 midterm/midterm.m diff --git a/midterm/midterm.m b/midterm/midterm.m new file mode 100644 index 0000000..7b48717 --- /dev/null +++ b/midterm/midterm.m @@ -0,0 +1,50 @@ +%% Midterm +% Name: Claudio Maggioni +% +% Date: 2020-04-02 +% +% This is a template file for the first assignment to get started with running +% and publishing code in Matlab. Each problem has its own section (delineated +% by |%%|) and can be run in isolation by clicking into the particular section +% and pressing |Ctrl| + |Enter| (evaluate current section). +% +% To generate a pdf for submission in your current directory, use the following +% three lines of code at the command window: +% +% >> options.format = 'pdf'; options.outputDir = pwd; publish('midterm.m', options) +% + +%% Problem 6 + +clear(); + +[L, U] = outerProductLU([1 1 1 1 1; + 2 4 4 4 4; + 3 7 10 10 10; + 4 10 16 20 20; + 5 13 22 30 35]); + +display(L); +display(U); + +[L, U] = outerProductLU([0 0 ; 0 0]); +display(L); +display(U); + +function [L,U] = outerProductLU(A) +dimensions = size(A); +n = dimensions(1); +L = zeros(n, n); +U = zeros(n, n); +for i = 1:n + if A(i, i) == 0 + disp("One of the pivots has become 0"); + L = []; + U = []; + break + end + L(:, i) = A(:, i) / A(i, i); + U(i, :) = A(i, :); + A = A - L(:, i) * U(i, :); +end +end \ No newline at end of file diff --git a/midterm/midterm.pdf b/midterm/midterm.pdf index 4bafd8cc0b8fc5b8bb2dd032541317dc995bcba0..a1e5f14f8f62c1fc4ec13aafc90c8da34b29ff89 100644 GIT binary patch literal 8120 zcmd6Mc|4R~^uG#46j_p@$C`-Qjj@kqkUjfW4Kop;Ty-NGOrAqy;5y z`jkYQy=bvhzRxo#)#vs3_WSJf{hVD6`_XaS17ztRLqY6 z-~ipzk6&AxA7)QsQOSUkC56NyGXggA!weZ@B8$!dl#J+J26VbVU`b^8I?);aOu*UB z0!_jaQ91h1~a4K-*COCZ4W`12=elm>& zsf_%oIsm||02Dv?uprZXSiS%X9NPxH6DU;B81P92#Tt>l=p-^Eg2@6+3*ZmU`Izlv zWA7p!JsfddMDUemT3(Y`ek`wiuROl2KtCjnlGlW{B?WR5goMo!fc)rXNvrS#TjAT$ zN=mu;R&p`X$W=+Q%F5>Nl3x^0mR@mioA#NW2_3$`w7$U{y5KfiQ@A`@0C6HCMPP7Q zN}c7KNzIpty?YHMvX*nLG>u-N#3l7$tJUSvu`#X-G6g(QiQ`^eYdVGpS3G039?nnH z?URr`78EuUoF8_tYj9R!{|9ch^<4WanoFrxNdJtGVg_1kk7{EpzlM$if`{vQLDTsY@AedHPAqlNxR zb1mcLy(K$qc)4t+oUFQ6aJ|>zVvT*zNYq%O@3fgKwbl9j^~-eJ`}Pl9s~e+vPe*Ip z@Ji}0mso1Ia|tzCE^yiQy4Bn<#nC+Z_@%G+uu_%<$1Jts-dZnXBRHTh=gS-LdQ0EZ zwRK{FQXRbGbxK)WyWoP`_wam@-eM>eyT?>WEOoCa;9$BQ8Jm?N_I^c}evJ)Wl-C&V zt|ZpHXH4JNW}UrYn_xW@|{45d4ebV@}hZ{yVjqnlbjIwy|)%#tNz8@Pv40*n~ zbE!$aS)h2%>fv~mH@p+*4!#|G=nbdf8+Y@-WV!Z6=gNr+YpzhdDg7pH1>Q(DbpP@F z21Y#jOCIg(!wUdIaufT*ZkfnSni(TgG)-5YUio-qlYyd4h-~8Fwnn=~E0W$9UB;TK z=$QoBJd$m@5;I*zd4*WqRui#YWgE+aRZlTbmHZ?}r4JFFJR0z|yS!3ULMrhAVeP5p z+?S6sA2sxC9+BmZIegRCYYSp~R-gs{SuVRc+@Y%2b@dirx;y!td5UD7@vYz6?fLbR z*mH3zESOs>#^cU`xAs9j8n6xPGY_cLW8Q`bh6FvSBwv@r*H+tY$b4rQugD!4>G@-MrrBsZx@ty243D4kH6;Y;2Qpe#~B+ zz52@G@I#uGhEJYSE?#za75-?_E);;zk)_E?11Ds*%k8$!u{L?w)^~9vG@S3-mdJzO z%?zw=I_{M#wa&NnH1agtMtDp}m2**gp@vhQG)s`_RubF9)-N<4IFH`uYTj<5=`mF> zg6R)icl2PKfcaUQo}&9+F3yhT&z#iV#wtJLe#pT6g@1D`&P!$$-?fRizMZ2nY zmCWQUb*SGeL&$S~lX}y9pGLzG;no7u2ufU(Eao9?OL}|83FUVg z+0BQWyPG4MS1R)>pHRjr7b_<_1QlAe`L;C_E-N(m8}QrX7twa@sdt+~n@3yuQ@6I0 zzA5M;Oe$IuE$y3+$vzr%)C4_Dsdv5O`p6aI8ghjgAo5Y-qg;E#pv~a@XF>m9iq`)l zGw^)ibpPc6i-E^%9oAP?HEYM<`M$V5sfX(yP8ZUPHkNc1=n?f1fv84QA7bK(&Ak+| zv)9B<9mCE>w^v^N$Q}_N=8TyV}?-QJw5$yq9~|rlmkK#Rg97Hd7RaG z-?K*$m7aav<>CvT^5h=Hp3OZzEwh&%mhLb2EzNqBTeGJ;FQ_5?Oe(pOd_$otfhgw9 zzMnuZ_LZW&+WD=6@M2%U6B5en0%g5_MEls4<26#P7aM3zogKU5zmb>6#*`c8HKfSh ze$-Xk{y94>)h^xc!jrw_rOb-2g&;&7yiMQoa-FuH0!LL$c?-n>9=e9gycle#42h& zt-azr`ALMHR_&Tvz9_+2``H>UhQ6;pvu<0i;Z7Go&lKis^6=x%{?}QrhlDIl^-b*> z-+JF|iC4Fdmy8#WO$xB>N-gc~aqKVt>;|LB(N}f_s|kpSOFUaMhU-wdF0%`96O*s* zxrf}Uc|ZJi1u?U{SK~+y@`1%^GRfsVHJ$vlzM#r?urHx+Qerx5APZZnR?03l5858I z>7C=-W$#{!T;e10^;U_}He8LWo*6s%vEe}b0iFXh@?TFInyu6h*=~nSzphZF6<0BJ zSlXh^^qU$R*`i#m_|Y(2f2vBLRDgD8=UK;|n)}&X&J~HgXrwv@?@01|FqG3IRiQNy zVxT1#Jl3t;+tX_`%;;qMVRwgg3~7Z;g^|OC$GC_3n=y9X_eQ~*}%DCdpX)&5*z;P|9@Ttz^ReHf!`!Ba$eeyE#K{V>T&-U-4 zV^5yDjF(6DX7#r3cKlXV5z}t_oR94ttj019`CJ`S9p74ge0Z?5uYbaLJTq;rDD0`b zXsz?(#Nn1BhYg4&h=c4+KPG4F7&+&^pq%KKSvKqeJ zi96PVZSC^x9Jm(1sAfJ4z4R{W^YJ8^w7dt^XG5xovtJFa>x6e`dFn8_YZ|@{u6Ezp zA^l22Q@clREKr-3Gn?`)aLjh*6gK&ZG|c)#_}=hs6ZRvN+o%^lg0+6%+aF-x?8sqd zZP-=QKY2^kf1r)tR2zBXK@>jR7I6yxMB85@g7|R_J1Tx zqP{ouB-h8~#`R;bV^yNWYcs+lz8rs4U1L0a+h}KH5AealUB-K|ZXZ^`6z?1Alq3OsDSJ%n{6q1gt z6UGv58E8oMrI>~@$adjY_Fm!sUO1Ahp00MNW@tcQ05}^E8bGBnHA8h|iC`T|)&&1U zWSFcjI47XZAbD$UGa}4$fp0ppzARRtCJYu55~3D@Qlm3`UUO&VIvKds4Fp?LHOeF`9X)GoTp@x9T0+0?w zPdb~WBl|-jB$MQ&=}l*VHNGw}Fpx^|B0`d3fh2Ej*v}!zin$-e&w`o?-T9t^!!}3x zm5WNG`LKyTWL+|i!}H_)S2l2=$huHtpbAH;!cq2cxF#H{$>|O>;c(8E9G3a7v|*4T zi=4pmFsK{H$&2Xo&H)Yi;T;-Njk7#zUi1LSLeMj)|L_dRp}ElS=>D(mjy5FmC;uWN zIdmh!e3zsPHfr;{KWYC*L9xnm-MT3I9_KC6)cz)7L)*j=s z>f7zl5v$n9y5z6CBJ}j$nf|+P`EMl8 zAk#O8e+tpcRxCRLuY0ki(7IWEkT(rIh}*Hx!e#r&<1g+*sm}5`=S{2MSdF~D{;Av`_SFoK zm`O{`Fq2L5fT{Pd8}C+6oxJy{7Z8kyBRv+}I3xSzYUQ!6Nqp@cUGuAl_is9JD)x~3 z_*<2bVx@Yu{V?9Nk(7}%cWxe|l1-uaY>be?y90a-U)7AgQ+Jrqa8P2Fn(_4>>Gwm2 zPY0_v6&PE|-1xeCwEaSh{HNtd>Bf5doCS(DCVdrs+}-##F90te)5=cQ49r;BQe>6y zT^3JD!LOTq!51anU){?6-nHx)TgE8WRc^3rtqW*Y!&Bg4iEl8Ex92hZf!8(yXB(@z z6Y4*Bj+t%wa^&rWjTwGeUhV+>bkF8R_hl)T4IR?;i!(3*&6V z&(m*ocMWYCm8L6(RUJ~OtW46kOpE#K@4BkeO;yW431y?vvK zO-IJYEd(^45}Kzenl{xhz844GzAuTFyqjWRH=I4x7?Eq5C4JHA%#megzDo#K_{4f% zX{8T2L^A|v2l0vPS-hP()kA$0mk;;e#@v5>?wibYg5~C~M|^@JS+6HPbs z6t+z7$h#;OOmKaq^Y0F*#w0yE zX}>fO8LBXRaJPSQ-T{! 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