Al realizar las operaciones de matrices se obtiene:
[tex]\left[\begin{array}{cccc}4&3&5&42\\0&-7&3&-6\\0&23&2&10\end{array}\right][/tex]
Dada la siguiente matriz; operaciones algebraicas entre filas.
[tex]\left[\begin{array}{cccc}4&3&5&42\\3&4&3&33\\2&5&2&29\end{array}\right][/tex]
F₃ ⇒ F₁ - 2F₃
= [4 - 2(2)]; [3 - 2(5)]; [5 - 2(2)]; [42 - 2(29)]
= 0; -30; 1; -16
sustituir;
[tex]\left[\begin{array}{cccc}4&3&5&42\\3&4&3&33\\0&-30&1&-16\end{array}\right][/tex]
F₂ ⇒ 3F₁ - 4F₂
= [3(4)- 4(3)]; [3(3)-4(4)]; [3(5)-4(3)]; [3(42)-4(33)]
= 0; -7; 3; -6
sustituir;
[tex]\left[\begin{array}{cccc}4&3&5&42\\0&-7&3&-6\\0&-30&1&-16\end{array}\right][/tex]
F₃ ⇒ F₂ - F₃
= [0-0]; [-7+30]; [3-1]; [-6+16]
= 0; 23; 2; 10
sustituir;
[tex]\left[\begin{array}{cccc}4&3&5&42\\0&-7&3&-6\\0&23&2&10\end{array}\right][/tex]
