<<4,-2,0>|<-2,4,-2>|<0,-2,4>>;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKSd6OWMp

<<4|-2|0>,<-2|4|-2>,<0|-2|4>>;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKV9daCYp

c1:=<4,-2,0>;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpO15oJik=

c2:=<-2,4,-2>;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpIT06Yyk=

c3:=<0,-2,4>;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpV19oJik=

r1:=<4|-2|0>;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSRyb3dHRig2Iy9JJCVpZEdGKCIpM2BoJik=

r2:=<-2|4|-2>;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSRyb3dHRig2Iy9JJCVpZEdGKCIpc2BoJik=

r3:=<0|-2|4>;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSRyb3dHRig2Iy9JJCVpZEdGKCIpT2FoJik=

<c1|c2|c3>;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKStiaCYp

<r1,r2,r3>;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKWtiaCYp

with(LinearAlgebra): Matrix(3,3,[1,3,5,7,9,11,13,15,17]);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKWNkaCYp

Matrix(4,3,[-1,0,1,-2,0,2,-3,0,-3,-4,0,4]);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKT9laCYp

IdentityMatrix(7);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKSUpZWgmKQ==

M1:=Matrix(2,5);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKTdnaCYp

M1[1,1]:=-1;

ISIi

M1[1,2]:=2;

IiIj

M1[1,3]:=-3;

ISIk

M1[1,4]:=4;

IiIl

M1[1,5]:=-5;

ISIm

M1[2,2]:=3;

IiIk

M1[2,3]:=-2;

ISIj

M1[2,4]:=1;

IiIi

M1[2,5]:=7;

IiIo

M1;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKTdnaCYp

M2:=Matrix(7);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKXdnaCYp

M2[3,2]:=1;

IiIi

M2[3,4]:=1;

IiIi

M2[3,6]:=1;

IiIi

M2[4,2]:=1;

IiIi

M2[4,3]:=1;

IiIi

M2[4,4]:=1;

IiIi

M2[4,6]:=1;

IiIi

M2[5,2]:=1;

IiIi

M2[5,4]:=1;

IiIi

M2[5,6]:=1;

IiIi

M2;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKXdnaCYp

HilbertMatrix(10);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKVNoaCYp

Matrix(4,4,(i,j)->i^(j-1));

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKS9paCYp

Q:=Matrix([[3,2,1],[2,3,2],[1,2,3]]);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKW9paCYp

Determinant(Q);

IiIp

QI:=MatrixInverse(Q);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKSllO2Mp

Q.QI;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKV9taCYp

A:=Matrix(3,3,[5,4,-2,4,5,-2,-2,-2,2]);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKTtuaCYp

Id:=IdentityMatrix(3);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKSF5O2Mp

B:=A^2-11*A+10*Id;

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKSk9PWMp

AI:=MatrixInverse(A);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKWNQaSYp

T:=(1/10)*(11*Id-A);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKVdLaSYp

Equal(AI,T);

SSV0cnVlRyUqcHJvdGVjdGVkRw==

E:=Matrix(3,3,[1,3,-2,-1,2,-2,-3,-2,1]);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKWNkTyYp

EI:=MatrixInverse(E);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKTclKTQqKQ==

e:=Vector([2,1,6]);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpdzt5Kik=

Multiply(EI,e);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpO1I1ISo=

T:=Matrix(3,3,[2,-1,0,-1,2,-1,0,-1,2]);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKT9SKjMq

TI:=MatrixInverse(T);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKUtRWSMq

t:=Vector([10,0,50]);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpYzRSIio=

Multiply(TI,t);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpb3kqRyo=

K:=Matrix(5,5,[4,-1,0,0,0,-1,4,-1,0,0,0,-1,4,-1,0,0,0,-1,4,-1,0,0,0,-1,4]);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKS9RaCQq

KI:=MatrixInverse(K);

LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKWc4UyMq

k:=Vector([100,200,200,200,100]);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpZ2BGJio=

Multiply(KI,k);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIpayZweSo=

TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE0Nzk2WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiUhIiMiIiFGJ0YmRidGKEYnRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1MDUyWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiUhIiMiIiFGJ0YmRidGKEYnRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1MTE2WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkIiIlISIjIiIhRiU=TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1MTgwWColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkISIjIiIlRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1MjQ0WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkIiIhISIjIiIlRiU=TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1MzA4WColKWFueXRoaW5nRzYiRiVbZ2whJCUhISEiJCIkIiIlISIjIiIhRiU=TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1MzcyWColKWFueXRoaW5nRzYiRiVbZ2whJCUhISEiJCIkISIjIiIlRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1NDM2WColKWFueXRoaW5nRzYiRiVbZ2whJCUhISEiJCIkIiIhISIjIiIlRiU=TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1NTAwWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiUhIiMiIiFGJ0YmRidGKEYnRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1NTY0WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiUhIiMiIiFGJ0YmRidGKEYnRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1NzU2WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiIiIigiIzgiIiQiIioiIzoiIiYiIzYiIzxGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1ODIwWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjLSIlIiQhIiIhIiMhIiQhIiUiIiFGKkYqRioiIiIiIiNGKCIiJUYlTTdSMApJNVJUQUJMRV9TQVZFLzg1NjE1ODg0WCwlKWFueXRoaW5nRzYjJSlpZGVudGl0eUc2IltnbCEiIiEhISMhIigiKEYnTTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2MDEyWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKyIjIiYhIiIiIiEiIiMiIiQhIiQhIiMiIiUiIiIhIiYiIihGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2MDEyWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKyIjIiYhIiIiIiEiIiMiIiQhIiQhIiMiIiUiIiIhIiYiIihGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2MDc2WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjUiIoIigiIiFGJkYmRiZGJkYmRiZGJkYmIiIiRidGJ0YmRiZGJkYmRiZGJ0YmRiZGJkYmRiZGJ0YnRidGJkYmRiZGJkYmRiZGJkYmRiZGJkYmRidGJ0YnRiZGJkYmRiZGJkYmRiZGJkYmRiU=TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2MDc2WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjUiIoIigiIiFGJkYmRiZGJkYmRiZGJkYmIiIiRidGJ0YmRiZGJkYmRiZGJ0YmRiZGJkYmRiZGJ0YnRidGJkYmRiZGJkYmRiZGJkYmRiZGJkYmRidGJ0YnRiZGJkYmRiZGJkYmRiZGJkYmRiU=TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2MTQwWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjX3EiKyIrIiIiI0YmIiIjI0YmIiIkI0YmIiIlI0YmIiImI0YmIiInI0YmIiIoI0YmIiIpI0YmIiIqI0YmIiM1RidGKUYrRi1GL0YxRjNGNUY3I0YmIiM2RilGK0YtRi9GMUYzRjVGN0Y5I0YmIiM3RitGLUYvRjFGM0Y1RjdGOUY7I0YmIiM4Ri1GL0YxRjNGNUY3RjlGO0Y9I0YmIiM5Ri9GMUYzRjVGN0Y5RjtGPUY/I0YmIiM6RjFGM0Y1RjdGOUY7Rj1GP0ZBI0YmIiM7RjNGNUY3RjlGO0Y9Rj9GQUZDI0YmIiM8RjVGN0Y5RjtGPUY/RkFGQ0ZFI0YmIiM9RjdGOUY7Rj1GP0ZBRkNGRUZHI0YmIiM+RiU=TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2MjA0WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjMSIlIiUiIiJGJkYmRiZGJiIiIyIiJCIiJUYmRikiIioiIztGJiIiKSIjRiIja0YlTTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2MjY4WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiQiIiMiIiJGJ0YmRidGKEYnRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2NTg4WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQjIiImIiIpIyEiIiIiIyMiIiJGKEYpRi1GKUYsRilGJkYlTTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2NjUyWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiIiIiFGJ0YnRiZGJ0YnRidGJkYlTTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2NzE2WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiYiIiUhIiNGJ0YmRihGKEYoIiIjRiU=TTdSMApJNVJUQUJMRV9TQVZFLzg1NjE2NzgwWCwlKWFueXRoaW5nRzYjJSlpZGVudGl0eUc2IltnbCEiIiEhISMhIiQiJEYnTTdSMApJNVJUQUJMRV9TQVZFLzg1NjE4MTg4WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiFGJkYmRiZGJkYmRiZGJkYmRiU=TTdSMApJNVJUQUJMRV9TQVZFLzg1NjIzNzU2WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQjIiIkIiImIyEiI0YoIyIiIkYoRilGJkYrRitGKyMiIioiIzVGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1NjIzMjQ0WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQjIiIkIiImIyEiI0YoIyIiIkYoRilGJkYrRitGKyMiIioiIzVGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg1MzY1NzU2WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiIhIiIhIiQiIiQiIiMhIiNGK0YrRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg5MDk4NDEyWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQjISIjIiIkIyIiKEYoIyIiKUYoIyIiIkYoIyEiJkYoIyEiKEYoRiYjIiIlRigjIiImRihGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzg5NzgxNjc2WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkIiIjIiIiIiInRiU=TTdSMApJNVJUQUJMRV9TQVZFLzkwMTAzOTE2WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkISImIiM2IiM4RiU=TTdSMApJNVJUQUJMRV9TQVZFLzkwODkzOTIwWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQiIiMhIiIiIiFGJ0YmRidGKEYnRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzkyNDYzODMyWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjKiIkIiQjIiIkIiIlIyIiIiIiIyNGKkYoRilGKkYpRixGKUYmRiU=TTdSMApJNVJUQUJMRV9TQVZFLzkxMzkwOTU2WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkIiM1IiIhIiNdRiU=TTdSMApJNVJUQUJMRV9TQVZFLzkyODk3ODY4WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJCIkIiM/IiNJIiNTRiU=TTdSMApJNVJUQUJMRV9TQVZFLzkzNjEzODA0WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjOiImIiYiIiUhIiIiIiFGKEYoRidGJkYnRihGKEYoRidGJkYnRihGKEYoRidGJkYnRihGKEYoRidGJkYlTTdSMApJNVJUQUJMRV9TQVZFLzkyNDAxMzYwWCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjOiImIiYjIiQ0IyIkIXkjIiM5IiQmPiMiIiIiI18jRi1GKyNGLUYoRikjIiNjRisjRi0iIzgjIiIlRitGL0YsRjMjIiM6Ri5GM0YsRi9GNUYzRjFGKUYwRi9GLEYpRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzk1Mjc1MzYwWColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJiImIiQrIiIkKyNGJ0YnRiZGJQ==TTdSMApJNVJUQUJMRV9TQVZFLzk3ODY5NTY0WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJiImIyIkKyciIzgjIiUrNkYoIyIlKzdGKEYpRiZGJQ==