(window.webpackJsonp=window.webpackJsonp||[]).push([[11],{"2w3n":function(r){r.exports={red:"red__2y1B_",orange:"orange__dD2kx",yellow:"yellow__OEpwl",lime:"lime__CVe41",cyan:"cyan__26ZAg",blue:"blue__LO7Xm",magenta:"magenta__1Akee",example:"example__2PzAa"}},U6dl:function(r,o,l){"use strict";l.r(o),function(r){function n(){var r=_(["\frac{Vert x - y Vert}{Vert x Vert}"],["\\frac{\\Vert x - y \\Vert}{\\Vert x \\Vert}"]);return n=function(){return r},r}function e(){var r=_(["Vert x Vert_2 = sqrt{sum_{i = 1}^n x_i^2}"],["\\Vert x \\Vert_2 = \\sqrt{\\sum_{i = 1}^n x_i^2}"]);return e=function(){return r},r}function a(){var r=_(["Vert x Vert_1 = sum_{i = 1}^n | x_i |"],["\\Vert x \\Vert_1 = \\sum_{i = 1}^n | x_i |"]);return a=function(){return r},r}function i(){var r=_(["Vert x Vert_infty = max_{i = 1..n} | x_i |"],["\\Vert x \\Vert_\\infty = max_{i = 1..n} | x_i |"]);return i=function(){return r},r}function t(){var r=_(["\n                            \begin{pmatrix}\n                                {color{Gray} 0} & 1 & {color{Gray} 0}\\\n                                1 & 1 & {color{Gray} 0}\\\n                                {color{Gray} 0} & {color{Gray} 0} & 1\n                            end{pmatrix}\n                        "],["\n                            \\begin{pmatrix}\n                                {\\color{Gray} 0} & 1 & {\\color{Gray} 0}\\\\\n                                1 & 1 & {\\color{Gray} 0}\\\\\n                                {\\color{Gray} 0} & {\\color{Gray} 0} & 1\n                            \\end{pmatrix}\n                        "]);return t=function(){return r},r}function c(){var r=_(["A^{-1} cdot A = I"],["A^{-1} \\cdot A = I"]);return c=function(){return r},r}function u(){var r=_(["\n                            \begin{pmatrix}\n                             \frac{1}{3} & \frac{2}{3} & -\frac{2}{3}\\\n                             \frac{2}{3} & \frac{1}{3} & \frac{2}{3}\\\n                             \frac{2}{3} & -\frac{2}{3} & -\frac{1}{3}\\\n                            end{pmatrix}\n                        "],["\n                            \\begin{pmatrix}\n                             \\frac{1}{3} & \\frac{2}{3} & -\\frac{2}{3}\\\\\n                             \\frac{2}{3} & \\frac{1}{3} & \\frac{2}{3}\\\\\n                             \\frac{2}{3} & -\\frac{2}{3} & -\\frac{1}{3}\\\\\n                            \\end{pmatrix}\n                        "]);return u=function(){return r},r}function p(){var r=_(["A^T cdot A = I"],["A^T \\cdot A = I"]);return p=function(){return r},r}function m(){var r=_(["\n                            \begin{pmatrix}\n                                {color{Orange} 9} & 1 & 2\\\n                                1 & {color{Orange} 8} & 1\\\n                                1 & 2 & {color{Orange} 7}\n                            end{pmatrix}\n                        "],["\n                            \\begin{pmatrix}\n                                {\\color{Orange} 9} & 1 & 2\\\\\n                                1 & {\\color{Orange} 8} & 1\\\\\n                                1 & 2 & {\\color{Orange} 7}\n                            \\end{pmatrix}\n                        "]);return m=function(){return r},r}function d(){var r=_(["\n                            \begin{pmatrix}\n                                {color{Gray} 0} & {color{Yellow} -2} & {color{Orange} -4}\\ \n                                {color{Yellow} 2} & {color{Gray} 0} & {color{Red} -5}\\ \n                                {color{Orange} 4} & {color{Red} 5} & {color{Gray} 0}\n                            end{pmatrix}\n                        "],["\n                            \\begin{pmatrix}\n                                {\\color{Gray} 0} & {\\color{Yellow} -2} & {\\color{Orange} -4}\\\\ \n                                {\\color{Yellow} 2} & {\\color{Gray} 0} & {\\color{Red} -5}\\\\ \n                                {\\color{Orange} 4} & {\\color{Red} 5} & {\\color{Gray} 0}\n                            \\end{pmatrix}\n                        "]);return d=function(){return r},r}function g(){var r=_(["A = -A^T"]);return g=function(){return r},r}function s(){var r=_(["\n                            \begin{pmatrix}\n                                1 & {color{Yellow} 2} & {color{Orange} 4}\\ \n                                {color{Yellow} 2} & 3 & {color{Red} 5}\\ \n                                {color{Orange} 4} & {color{Red} 5} & 6\n                            end{pmatrix}\n                        "],["\n                            \\begin{pmatrix}\n                                1 & {\\color{Yellow} 2} & {\\color{Orange} 4}\\\\ \n                                {\\color{Yellow} 2} & 3 & {\\color{Red} 5}\\\\ \n                                {\\color{Orange} 4} & {\\color{Red} 5} & 6\n                            \\end{pmatrix}\n                        "]);return s=function(){return r},r}function f(){var r=_(["A = A^T"]);return f=function(){return r},r}function w(){var 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                          {color{Yellow} 3} & {color{Orange} 3} & {color{Orange} 3}\\\n                                {color{Gray} 0} & {color{Yellow} 4} & {color{Orange} 4}\\\n                                {color{Gray} 0} & {color{Gray} 0} & {color{Yellow} 5}\n                            end{pmatrix}\n                        "],["\n                            \\begin{pmatrix}\n                                {\\color{Yellow} 3} & {\\color{Orange} 3} & {\\color{Orange} 3}\\\\\n                                {\\color{Gray} 0} & {\\color{Yellow} 4} & {\\color{Orange} 4}\\\\\n                                {\\color{Gray} 0} & {\\color{Gray} 0} & {\\color{Yellow} 5}\n                            \\end{pmatrix}\n                        "]);return Y=function(){return r},r}function v(){var r=_(["\n                            \begin{pmatrix}\n                                {color{Yellow} 3} & {color{Gray} 0} & {color{Gray} 0}\\\n                                {color{Orange} 4} & {color{Yellow} 4} & {color{Gray} 0}\\\n                                {color{Orange} 5} & {color{Orange} 5} & {color{Yellow} 5}\n                            end{pmatrix}\n                        "],["\n                            \\begin{pmatrix}\n                                {\\color{Yellow} 3} & {\\color{Gray} 0} & {\\color{Gray} 0}\\\\\n                                {\\color{Orange} 4} & {\\color{Yellow} 4} & {\\color{Gray} 0}\\\\\n                                {\\color{Orange} 5} & {\\color{Orange} 5} & {\\color{Yellow} 5}\n                            \\end{pmatrix}\n                        "]);return v=function(){return r},r}function y(){var r=_(["\n                            \begin{pmatrix}\n                                {color{Yellow} 3} & {color{Gray} 0} & {color{Gray} 0}\\\n                                {color{Gray} 0} & {color{Yellow} 4} & {color{Gray} 0}\\\n                                {color{Gray} 0} & {color{Gray} 0} & {color{Yellow} 5}\n                            end{pmatrix}\n                        "],["\n                            \\begin{pmatrix}\n                                {\\color{Yellow} 3} & {\\color{Gray} 0} & {\\color{Gray} 0}\\\\\n                                {\\color{Gray} 0} & {\\color{Yellow} 4} & {\\color{Gray} 0}\\\\\n                                {\\color{Gray} 0} & {\\color{Gray} 0} & {\\color{Yellow} 5}\n                            \\end{pmatrix}\n                        "]);return y=function(){return r},r}function G(){var r=_(["\n                            \begin{pmatrix}\n                                {color{Yellow} 1} & {color{Yellow} 0} & {color{Yellow} 0}\\\n                                {color{Yellow} 0} & {color{Yellow} 1} & {color{Yellow} 0}\\\n                                {color{Yellow} 0} & {color{Yellow} 0} & {color{Yellow} 1}\n                            end{pmatrix}\n                        "],["\n                            \\begin{pmatrix}\n                                {\\color{Yellow} 1} & {\\color{Yellow} 0} & {\\color{Yellow} 0}\\\\\n                                {\\color{Yellow} 0} & {\\color{Yellow} 1} & {\\color{Yellow} 0}\\\\\n                                {\\color{Yellow} 0} & {\\color{Yellow} 0} & {\\color{Yellow} 1}\n                            \\end{pmatrix}\n                        "]);return G=function(){return r},r}function _(r,o){return o||(o=r.slice(0)),r.raw=o,r}var O=l("mbOI"),b=l("ke5e"),h=String.raw;o.default=function(){return r("div",null,r("h1",null,"Ripasso di ",r("a",{href:"/vldigeometria"},"Algebra Lineare")," ",r("small",null,"per ",r("a",{href:"/calcolonumerico"},"Calcolo Numerico"))),r(O.r,{title:"Matrici speciali"},r(O.q,{title:"Matrice identità"},r("p",null,"Elemento neutro della moltiplicazione matriciale."),r(b.a,null,r(O.p,null,h(G())))),r(O.q,{title:"Matrice diagonale"},r("p",null,"Matrice con elementi diversi da 0 solo sulla diagonale."),r(b.a,null,r(O.p,null,h(y())))),r(O.q,{title:"Matrice triangolare 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