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Álgebra lineal Ejemplos
Paso 1
Write as an augmented matrix for .
Paso 2
Paso 2.1
Multiply each element of by to make the entry at a .
Paso 2.1.1
Multiply each element of by to make the entry at a .
Paso 2.1.2
Simplifica .
Paso 2.2
Perform the row operation to make the entry at a .
Paso 2.2.1
Perform the row operation to make the entry at a .
Paso 2.2.2
Simplifica .
Paso 2.3
Perform the row operation to make the entry at a .
Paso 2.3.1
Perform the row operation to make the entry at a .
Paso 2.3.2
Simplifica .
Paso 2.4
Perform the row operation to make the entry at a .
Paso 2.4.1
Perform the row operation to make the entry at a .
Paso 2.4.2
Simplifica .
Paso 2.5
Perform the row operation to make the entry at a .
Paso 2.5.1
Perform the row operation to make the entry at a .
Paso 2.5.2
Simplifica .
Paso 2.6
Multiply each element of by to make the entry at a .
Paso 2.6.1
Multiply each element of by to make the entry at a .
Paso 2.6.2
Simplifica .
Paso 2.7
Perform the row operation to make the entry at a .
Paso 2.7.1
Perform the row operation to make the entry at a .
Paso 2.7.2
Simplifica .
Paso 2.8
Perform the row operation to make the entry at a .
Paso 2.8.1
Perform the row operation to make the entry at a .
Paso 2.8.2
Simplifica .
Paso 2.9
Perform the row operation to make the entry at a .
Paso 2.9.1
Perform the row operation to make the entry at a .
Paso 2.9.2
Simplifica .
Paso 2.10
Multiply each element of by to make the entry at a .
Paso 2.10.1
Multiply each element of by to make the entry at a .
Paso 2.10.2
Simplifica .
Paso 2.11
Multiply each element of by to make the entry at a .
Paso 2.11.1
Multiply each element of by to make the entry at a .
Paso 2.11.2
Simplifica .
Paso 2.12
Perform the row operation to make the entry at a .
Paso 2.12.1
Perform the row operation to make the entry at a .
Paso 2.12.2
Simplifica .
Paso 2.13
Perform the row operation to make the entry at a .
Paso 2.13.1
Perform the row operation to make the entry at a .
Paso 2.13.2
Simplifica .
Paso 2.14
Perform the row operation to make the entry at a .
Paso 2.14.1
Perform the row operation to make the entry at a .
Paso 2.14.2
Simplifica .
Paso 2.15
Perform the row operation to make the entry at a .
Paso 2.15.1
Perform the row operation to make the entry at a .
Paso 2.15.2
Simplifica .
Paso 2.16
Perform the row operation to make the entry at a .
Paso 2.16.1
Perform the row operation to make the entry at a .
Paso 2.16.2
Simplifica .
Paso 2.17
Perform the row operation to make the entry at a .
Paso 2.17.1
Perform the row operation to make the entry at a .
Paso 2.17.2
Simplifica .
Paso 2.18
Perform the row operation to make the entry at a .
Paso 2.18.1
Perform the row operation to make the entry at a .
Paso 2.18.2
Simplifica .
Paso 3
Use the result matrix to declare the final solution to the system of equations.
Paso 4
Write a solution vector by solving in terms of the free variables in each row.
Paso 5
Write the solution as a linear combination of vectors.
Paso 6
Write as a solution set.