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Álgebra lineal Ejemplos
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Paso 1
Write as an augmented matrix for .
Paso 2
Write as a linear system of equations.
Paso 3
Paso 3.1
Move variables to the left and constant terms to the right.
Paso 3.1.1
Reordena los factores en .
Paso 3.1.2
Mueve .
Paso 3.2
Write the system as a matrix.
Paso 3.3
Obtén la forma escalonada reducida por filas.
Paso 3.3.1
Multiply each element of by to make the entry at a .
Paso 3.3.1.1
Multiply each element of by to make the entry at a .
Paso 3.3.1.2
Simplifica .
Paso 3.3.2
Perform the row operation to make the entry at a .
Paso 3.3.2.1
Perform the row operation to make the entry at a .
Paso 3.3.2.2
Simplifica .
Paso 3.3.3
Multiply each element of by to make the entry at a .
Paso 3.3.3.1
Multiply each element of by to make the entry at a .
Paso 3.3.3.2
Simplifica .
Paso 3.3.4
Perform the row operation to make the entry at a .
Paso 3.3.4.1
Perform the row operation to make the entry at a .
Paso 3.3.4.2
Simplifica .
Paso 3.4
Use the result matrix to declare the final solution to the system of equations.
Paso 3.5
Write a solution vector by solving in terms of the free variables in each row.
Paso 3.6
Write the solution as a linear combination of vectors.
Paso 3.7
Write as a solution set.